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Simplifying -3(x + -4) = 5(x + -8) Reorder the terms: -3(-4 + x) = 5(x + -8) (-4 * -3 + x * -3) = 5(x + -8) (12 + -3x) = 5(x + -8) Reorder the terms: 12 + -3x = 5(-8 + x) 12 + -3x = (-8 * 5 + x * 5) 12 + -3x = (-40 + 5x) Solving 12 + -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. 12 + -3x + -5x = -40 + 5x + -5x Combine like terms: -3x + -5x = -8x 12 + -8x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -8x = -40 + 0 12 + -8x = -40 Add '-12' to each side of the equation. 12 + -12 + -8x = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -40 + -12 -8x = -40 + -12 Combine like terms: -40 + -12 = -52 -8x = -52 Divide each side by '-8'. x = 6.5 Simplifying x = 6.5
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