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