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