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Simplifying -1(x + -18) + 2(x + 2) = 6(x + -4) Reorder the terms: -1(-18 + x) + 2(x + 2) = 6(x + -4) (-18 * -1 + x * -1) + 2(x + 2) = 6(x + -4) (18 + -1x) + 2(x + 2) = 6(x + -4) Reorder the terms: 18 + -1x + 2(2 + x) = 6(x + -4) 18 + -1x + (2 * 2 + x * 2) = 6(x + -4) 18 + -1x + (4 + 2x) = 6(x + -4) Reorder the terms: 18 + 4 + -1x + 2x = 6(x + -4) Combine like terms: 18 + 4 = 22 22 + -1x + 2x = 6(x + -4) Combine like terms: -1x + 2x = 1x 22 + 1x = 6(x + -4) Reorder the terms: 22 + 1x = 6(-4 + x) 22 + 1x = (-4 * 6 + x * 6) 22 + 1x = (-24 + 6x) Solving 22 + 1x = -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. 22 + 1x + -6x = -24 + 6x + -6x Combine like terms: 1x + -6x = -5x 22 + -5x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + -5x = -24 + 0 22 + -5x = -24 Add '-22' to each side of the equation. 22 + -22 + -5x = -24 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = -24 + -22 -5x = -24 + -22 Combine like terms: -24 + -22 = -46 -5x = -46 Divide each side by '-5'. x = 9.2 Simplifying x = 9.2
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