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Simplifying 10(4x + 1) = 3(9x + 9) Reorder the terms: 10(1 + 4x) = 3(9x + 9) (1 * 10 + 4x * 10) = 3(9x + 9) (10 + 40x) = 3(9x + 9) Reorder the terms: 10 + 40x = 3(9 + 9x) 10 + 40x = (9 * 3 + 9x * 3) 10 + 40x = (27 + 27x) Solving 10 + 40x = 27 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 10 + 40x + -27x = 27 + 27x + -27x Combine like terms: 40x + -27x = 13x 10 + 13x = 27 + 27x + -27x Combine like terms: 27x + -27x = 0 10 + 13x = 27 + 0 10 + 13x = 27 Add '-10' to each side of the equation. 10 + -10 + 13x = 27 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 27 + -10 13x = 27 + -10 Combine like terms: 27 + -10 = 17 13x = 17 Divide each side by '13'. x = 1.307692308 Simplifying x = 1.307692308
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