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