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Simplifying 12 = -2x + 6(2x + 17) Reorder the terms: 12 = -2x + 6(17 + 2x) 12 = -2x + (17 * 6 + 2x * 6) 12 = -2x + (102 + 12x) Reorder the terms: 12 = 102 + -2x + 12x Combine like terms: -2x + 12x = 10x 12 = 102 + 10x Solving 12 = 102 + 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 = 102 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -10x = 102 + 0 12 + -10x = 102 Add '-12' to each side of the equation. 12 + -12 + -10x = 102 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 102 + -12 -10x = 102 + -12 Combine like terms: 102 + -12 = 90 -10x = 90 Divide each side by '-10'. x = -9 Simplifying x = -9
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