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Simplifying 20(x + 9) = 15(2x + -2) Reorder the terms: 20(9 + x) = 15(2x + -2) (9 * 20 + x * 20) = 15(2x + -2) (180 + 20x) = 15(2x + -2) Reorder the terms: 180 + 20x = 15(-2 + 2x) 180 + 20x = (-2 * 15 + 2x * 15) 180 + 20x = (-30 + 30x) Solving 180 + 20x = -30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 180 + 20x + -30x = -30 + 30x + -30x Combine like terms: 20x + -30x = -10x 180 + -10x = -30 + 30x + -30x Combine like terms: 30x + -30x = 0 180 + -10x = -30 + 0 180 + -10x = -30 Add '-180' to each side of the equation. 180 + -180 + -10x = -30 + -180 Combine like terms: 180 + -180 = 0 0 + -10x = -30 + -180 -10x = -30 + -180 Combine like terms: -30 + -180 = -210 -10x = -210 Divide each side by '-10'. x = 21 Simplifying x = 21
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