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Simplifying -1(5x + -18) + 2x = 20 + -2(x + 1) Reorder the terms: -1(-18 + 5x) + 2x = 20 + -2(x + 1) (-18 * -1 + 5x * -1) + 2x = 20 + -2(x + 1) (18 + -5x) + 2x = 20 + -2(x + 1) Combine like terms: -5x + 2x = -3x 18 + -3x = 20 + -2(x + 1) Reorder the terms: 18 + -3x = 20 + -2(1 + x) 18 + -3x = 20 + (1 * -2 + x * -2) 18 + -3x = 20 + (-2 + -2x) Combine like terms: 20 + -2 = 18 18 + -3x = 18 + -2x Add '-18' to each side of the equation. 18 + -18 + -3x = 18 + -18 + -2x Combine like terms: 18 + -18 = 0 0 + -3x = 18 + -18 + -2x -3x = 18 + -18 + -2x Combine like terms: 18 + -18 = 0 -3x = 0 + -2x -3x = -2x Solving -3x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3x + 2x = -2x + 2x Combine like terms: -3x + 2x = -1x -1x = -2x + 2x Combine like terms: -2x + 2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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