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