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Simplifying -1(x + -12) + 2(x + 3) = 6(x + 3) Reorder the terms: -1(-12 + x) + 2(x + 3) = 6(x + 3) (-12 * -1 + x * -1) + 2(x + 3) = 6(x + 3) (12 + -1x) + 2(x + 3) = 6(x + 3) Reorder the terms: 12 + -1x + 2(3 + x) = 6(x + 3) 12 + -1x + (3 * 2 + x * 2) = 6(x + 3) 12 + -1x + (6 + 2x) = 6(x + 3) Reorder the terms: 12 + 6 + -1x + 2x = 6(x + 3) Combine like terms: 12 + 6 = 18 18 + -1x + 2x = 6(x + 3) Combine like terms: -1x + 2x = 1x 18 + 1x = 6(x + 3) Reorder the terms: 18 + 1x = 6(3 + x) 18 + 1x = (3 * 6 + x * 6) 18 + 1x = (18 + 6x) Add '-18' to each side of the equation. 18 + -18 + 1x = 18 + -18 + 6x Combine like terms: 18 + -18 = 0 0 + 1x = 18 + -18 + 6x 1x = 18 + -18 + 6x Combine like terms: 18 + -18 = 0 1x = 0 + 6x 1x = 6x Solving 1x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1x + -6x = 6x + -6x Combine like terms: 1x + -6x = -5x -5x = 6x + -6x Combine like terms: 6x + -6x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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