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Simplifying -5(x + -2) = 10(x + 4) Reorder the terms: -5(-2 + x) = 10(x + 4) (-2 * -5 + x * -5) = 10(x + 4) (10 + -5x) = 10(x + 4) Reorder the terms: 10 + -5x = 10(4 + x) 10 + -5x = (4 * 10 + x * 10) 10 + -5x = (40 + 10x) Solving 10 + -5x = 40 + 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. 10 + -5x + -10x = 40 + 10x + -10x Combine like terms: -5x + -10x = -15x 10 + -15x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -15x = 40 + 0 10 + -15x = 40 Add '-10' to each side of the equation. 10 + -10 + -15x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -15x = 40 + -10 -15x = 40 + -10 Combine like terms: 40 + -10 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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