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Simplifying -2(x + -6) = -5(x + 6) Reorder the terms: -2(-6 + x) = -5(x + 6) (-6 * -2 + x * -2) = -5(x + 6) (12 + -2x) = -5(x + 6) Reorder the terms: 12 + -2x = -5(6 + x) 12 + -2x = (6 * -5 + x * -5) 12 + -2x = (-30 + -5x) Solving 12 + -2x = -30 + -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 + -2x + 5x = -30 + -5x + 5x Combine like terms: -2x + 5x = 3x 12 + 3x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 3x = -30 + 0 12 + 3x = -30 Add '-12' to each side of the equation. 12 + -12 + 3x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -30 + -12 3x = -30 + -12 Combine like terms: -30 + -12 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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