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Simplifying 12x + -1(2x + -12) = 7 + 9x Reorder the terms: 12x + -1(-12 + 2x) = 7 + 9x 12x + (-12 * -1 + 2x * -1) = 7 + 9x 12x + (12 + -2x) = 7 + 9x Reorder the terms: 12 + 12x + -2x = 7 + 9x Combine like terms: 12x + -2x = 10x 12 + 10x = 7 + 9x Solving 12 + 10x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 10x + -9x = 7 + 9x + -9x Combine like terms: 10x + -9x = 1x 12 + 1x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 1x = 7 + 0 12 + 1x = 7 Add '-12' to each side of the equation. 12 + -12 + 1x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 7 + -12 1x = 7 + -12 Combine like terms: 7 + -12 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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