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Simplifying -1(9 + -2x) + 3x = 2(x + -18) (9 * -1 + -2x * -1) + 3x = 2(x + -18) (-9 + 2x) + 3x = 2(x + -18) Combine like terms: 2x + 3x = 5x -9 + 5x = 2(x + -18) Reorder the terms: -9 + 5x = 2(-18 + x) -9 + 5x = (-18 * 2 + x * 2) -9 + 5x = (-36 + 2x) Solving -9 + 5x = -36 + 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. -9 + 5x + -2x = -36 + 2x + -2x Combine like terms: 5x + -2x = 3x -9 + 3x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 3x = -36 + 0 -9 + 3x = -36 Add '9' to each side of the equation. -9 + 9 + 3x = -36 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -36 + 9 3x = -36 + 9 Combine like terms: -36 + 9 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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