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Simplifying (6 + x) = 12 + -1(3 + -2x) Remove parenthesis around (6 + x) 6 + x = 12 + -1(3 + -2x) 6 + x = 12 + (3 * -1 + -2x * -1) 6 + x = 12 + (-3 + 2x) Combine like terms: 12 + -3 = 9 6 + x = 9 + 2x Solving 6 + x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + x + -2x = 9 + 2x + -2x Combine like terms: x + -2x = -1x 6 + -1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = 9 + 0 6 + -1x = 9 Add '-6' to each side of the equation. 6 + -6 + -1x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 9 + -6 -1x = 9 + -6 Combine like terms: 9 + -6 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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