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Simplifying -12(x + -2) = 5(2x + -4) Reorder the terms: -12(-2 + x) = 5(2x + -4) (-2 * -12 + x * -12) = 5(2x + -4) (24 + -12x) = 5(2x + -4) Reorder the terms: 24 + -12x = 5(-4 + 2x) 24 + -12x = (-4 * 5 + 2x * 5) 24 + -12x = (-20 + 10x) Solving 24 + -12x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -12x + -10x = -20 + 10x + -10x Combine like terms: -12x + -10x = -22x 24 + -22x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -22x = -20 + 0 24 + -22x = -20 Add '-24' to each side of the equation. 24 + -24 + -22x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -22x = -20 + -24 -22x = -20 + -24 Combine like terms: -20 + -24 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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