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Simplifying -1(x + 20) = 18 + x Reorder the terms: -1(20 + x) = 18 + x (20 * -1 + x * -1) = 18 + x (-20 + -1x) = 18 + x Solving -20 + -1x = 18 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -20 + -1x + -1x = 18 + x + -1x Combine like terms: -1x + -1x = -2x -20 + -2x = 18 + x + -1x Combine like terms: x + -1x = 0 -20 + -2x = 18 + 0 -20 + -2x = 18 Add '20' to each side of the equation. -20 + 20 + -2x = 18 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 18 + 20 -2x = 18 + 20 Combine like terms: 18 + 20 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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