To solve the expression \(3(6x - 4) - 8(x - 7)\), let's first distribute the terms and then simplify.
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Distribute \(3\) into \((6x - 4)\): \[ 3 \cdot 6x - 3 \cdot 4 = 18x - 12 \]
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Distribute \(-8\) into \((x - 7)\): \[ -8 \cdot x + 8 \cdot 7 = -8x + 56 \]
Now, combine both results: \[ 18x - 12 - 8x + 56 \]
Combine like terms (the \(x\) terms and the constant terms):
- For the \(x\) terms: \(18x - 8x = 10x\)
- For the constant terms: \(-12 + 56 = 44\)
Putting it all together gives us: \[ 10x + 44 \]
Thus, the equivalent expression is: \[ 10x + 44 \]
However, this option does not match any provided options as 44 does not equate to 3, -44, -15, or 56. So it looks like the next step is to check if the provided answer choices were 10x + 3, 10x - 44, 25x - 15, and 26x + 56, then our simplification does not have an exact match, but the closest calculated version is \(10x + 44\). If the possible answers provided had included \(10x + 44\) the answer would be aligned.
Considering you have only relative provided options that assume calculation inconsistencies, confirm option texts'll help align results more closely to right-match the actual scenario. But additionally based calculation across predictably forms equation suggests \(10x + 44\) should logically map similar best with course between \(10x + 3\) and \(10x - 44\) otherwise instead!
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