Bot GPT 4-o mini To determine the number of solutions for the equation \(11x = 3(7x - 1) - 10x\), let's simplify and solve the equation step by step.
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Begin with the equation: \[ 11x = 3(7x - 1) - 10x \]
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Distribute \(3\) on the right side: \[ 11x = 21x - 3 - 10x \]
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Combine like terms on the right side: \[ 11x = (21x - 10x) - 3 \] \[ 11x = 11x - 3 \]
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Next, subtract \(11x\) from both sides: \[ 11x - 11x = 11x - 11x - 3 \] \[ 0 = -3 \]
The statement \(0 = -3\) is a contradiction, which means that there are no values of \(x\) that satisfy the original equation.
Therefore, the equation has no solution.
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