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Simplifying -1(x + -18) + 3(x + 2) = 6(x + -4) Reorder the terms: -1(-18 + x) + 3(x + 2) = 6(x + -4) (-18 * -1 + x * -1) + 3(x + 2) = 6(x + -4) (18 + -1x) + 3(x + 2) = 6(x + -4) Reorder the terms: 18 + -1x + 3(2 + x) = 6(x + -4) 18 + -1x + (2 * 3 + x * 3) = 6(x + -4) 18 + -1x + (6 + 3x) = 6(x + -4) Reorder the terms: 18 + 6 + -1x + 3x = 6(x + -4) Combine like terms: 18 + 6 = 24 24 + -1x + 3x = 6(x + -4) Combine like terms: -1x + 3x = 2x 24 + 2x = 6(x + -4) Reorder the terms: 24 + 2x = 6(-4 + x) 24 + 2x = (-4 * 6 + x * 6) 24 + 2x = (-24 + 6x) Solving 24 + 2x = -24 + 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. 24 + 2x + -6x = -24 + 6x + -6x Combine like terms: 2x + -6x = -4x 24 + -4x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -4x = -24 + 0 24 + -4x = -24 Add '-24' to each side of the equation. 24 + -24 + -4x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = -24 + -24 -4x = -24 + -24 Combine like terms: -24 + -24 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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