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Simplifying -2(x + -5) = 6(x + 5) + -12 Reorder the terms: -2(-5 + x) = 6(x + 5) + -12 (-5 * -2 + x * -2) = 6(x + 5) + -12 (10 + -2x) = 6(x + 5) + -12 Reorder the terms: 10 + -2x = 6(5 + x) + -12 10 + -2x = (5 * 6 + x * 6) + -12 10 + -2x = (30 + 6x) + -12 Reorder the terms: 10 + -2x = 30 + -12 + 6x Combine like terms: 30 + -12 = 18 10 + -2x = 18 + 6x Solving 10 + -2x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + -2x + -6x = 18 + 6x + -6x Combine like terms: -2x + -6x = -8x 10 + -8x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -8x = 18 + 0 10 + -8x = 18 Add '-10' to each side of the equation. 10 + -10 + -8x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 18 + -10 -8x = 18 + -10 Combine like terms: 18 + -10 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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