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Simplifying -1(x + -18) + 2x + 6 = 6x + -36 Reorder the terms: -1(-18 + x) + 2x + 6 = 6x + -36 (-18 * -1 + x * -1) + 2x + 6 = 6x + -36 (18 + -1x) + 2x + 6 = 6x + -36 Reorder the terms: 18 + 6 + -1x + 2x = 6x + -36 Combine like terms: 18 + 6 = 24 24 + -1x + 2x = 6x + -36 Combine like terms: -1x + 2x = 1x 24 + 1x = 6x + -36 Reorder the terms: 24 + 1x = -36 + 6x Solving 24 + 1x = -36 + 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 + 1x + -6x = -36 + 6x + -6x Combine like terms: 1x + -6x = -5x 24 + -5x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -5x = -36 + 0 24 + -5x = -36 Add '-24' to each side of the equation. 24 + -24 + -5x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = -36 + -24 -5x = -36 + -24 Combine like terms: -36 + -24 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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