Let's simplify each expression one at a time:
-
For \(-8(x + 4)\): \[ -8(x + 4) = -8x - 32 \]
-
For \(12 - (x + 9)\): \[ 12 - (x + 9) = 12 - x - 9 = 3 - x \]
-
For \(2(5x - 6)\): \[ 2(5x - 6) = 10x - 12 \]
-
For \(3(4x + 1) = 10x\): First, simplify the left side: \[ 3(4x + 1) = 12x + 3 \] Set this equal to \(10x\): \[ 12x + 3 = 10x \] Now, isolate \(x\): \[ 12x - 10x = -3 \ 2x = -3 \ x = -\frac{3}{2} \]
After simplifying all expressions, here are the results:
- \(-8(x + 4) = -8x - 32\)
- \(12 - (x + 9) = 3 - x\)
- \(2(5x - 6) = 10x - 12\)
- The solution to \(3(4x + 1) = 10x\) is \(x = -\frac{3}{2}\).