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Simplifying (10 + 17) * 10 = (9 + x) * 9 Combine like terms: 10 + 17 = 27 (27) * 10 = (9 + x) * 9 Multiply 27 * 10 270 = (9 + x) * 9 Reorder the terms for easier multiplication: 270 = 9(9 + x) 270 = (9 * 9 + x * 9) 270 = (81 + 9x) Solving 270 = 81 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 270 + -9x = 81 + 9x + -9x Combine like terms: 9x + -9x = 0 270 + -9x = 81 + 0 270 + -9x = 81 Add '-270' to each side of the equation. 270 + -270 + -9x = 81 + -270 Combine like terms: 270 + -270 = 0 0 + -9x = 81 + -270 -9x = 81 + -270 Combine like terms: 81 + -270 = -189 -9x = -189 Divide each side by '-9'. x = 21 Simplifying x = 21
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