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Simplifying -12 = -2x + 6(2x + 13) Reorder the terms: -12 = -2x + 6(13 + 2x) -12 = -2x + (13 * 6 + 2x * 6) -12 = -2x + (78 + 12x) Reorder the terms: -12 = 78 + -2x + 12x Combine like terms: -2x + 12x = 10x -12 = 78 + 10x Solving -12 = 78 + 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. -12 + -10x = 78 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -10x = 78 + 0 -12 + -10x = 78 Add '12' to each side of the equation. -12 + 12 + -10x = 78 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 78 + 12 -10x = 78 + 12 Combine like terms: 78 + 12 = 90 -10x = 90 Divide each side by '-10'. x = -9 Simplifying x = -9
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