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Simplifying 10 + 11x = 9(x + 10) Reorder the terms: 10 + 11x = 9(10 + x) 10 + 11x = (10 * 9 + x * 9) 10 + 11x = (90 + 9x) Solving 10 + 11x = 90 + 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. 10 + 11x + -9x = 90 + 9x + -9x Combine like terms: 11x + -9x = 2x 10 + 2x = 90 + 9x + -9x Combine like terms: 9x + -9x = 0 10 + 2x = 90 + 0 10 + 2x = 90 Add '-10' to each side of the equation. 10 + -10 + 2x = 90 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 90 + -10 2x = 90 + -10 Combine like terms: 90 + -10 = 80 2x = 80 Divide each side by '2'. x = 40 Simplifying x = 40
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