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