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Simplifying 2(3x + -1(4x + -8)) = 3(x + -8) Reorder the terms: 2(3x + -1(-8 + 4x)) = 3(x + -8) 2(3x + (-8 * -1 + 4x * -1)) = 3(x + -8) 2(3x + (8 + -4x)) = 3(x + -8) Reorder the terms: 2(8 + 3x + -4x) = 3(x + -8) Combine like terms: 3x + -4x = -1x 2(8 + -1x) = 3(x + -8) (8 * 2 + -1x * 2) = 3(x + -8) (16 + -2x) = 3(x + -8) Reorder the terms: 16 + -2x = 3(-8 + x) 16 + -2x = (-8 * 3 + x * 3) 16 + -2x = (-24 + 3x) Solving 16 + -2x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + -2x + -3x = -24 + 3x + -3x Combine like terms: -2x + -3x = -5x 16 + -5x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + -5x = -24 + 0 16 + -5x = -24 Add '-16' to each side of the equation. 16 + -16 + -5x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = -24 + -16 -5x = -24 + -16 Combine like terms: -24 + -16 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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