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Simplifying 9(2 + -1x) = 10(2x + 7) (2 * 9 + -1x * 9) = 10(2x + 7) (18 + -9x) = 10(2x + 7) Reorder the terms: 18 + -9x = 10(7 + 2x) 18 + -9x = (7 * 10 + 2x * 10) 18 + -9x = (70 + 20x) Solving 18 + -9x = 70 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 18 + -9x + -20x = 70 + 20x + -20x Combine like terms: -9x + -20x = -29x 18 + -29x = 70 + 20x + -20x Combine like terms: 20x + -20x = 0 18 + -29x = 70 + 0 18 + -29x = 70 Add '-18' to each side of the equation. 18 + -18 + -29x = 70 + -18 Combine like terms: 18 + -18 = 0 0 + -29x = 70 + -18 -29x = 70 + -18 Combine like terms: 70 + -18 = 52 -29x = 52 Divide each side by '-29'. x = -1.793103448 Simplifying x = -1.793103448
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