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Simplifying 5(1 + 10x) + 6 = 9(9 + 2x) + -3x (1 * 5 + 10x * 5) + 6 = 9(9 + 2x) + -3x (5 + 50x) + 6 = 9(9 + 2x) + -3x Reorder the terms: 5 + 6 + 50x = 9(9 + 2x) + -3x Combine like terms: 5 + 6 = 11 11 + 50x = 9(9 + 2x) + -3x 11 + 50x = (9 * 9 + 2x * 9) + -3x 11 + 50x = (81 + 18x) + -3x Combine like terms: 18x + -3x = 15x 11 + 50x = 81 + 15x Solving 11 + 50x = 81 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 11 + 50x + -15x = 81 + 15x + -15x Combine like terms: 50x + -15x = 35x 11 + 35x = 81 + 15x + -15x Combine like terms: 15x + -15x = 0 11 + 35x = 81 + 0 11 + 35x = 81 Add '-11' to each side of the equation. 11 + -11 + 35x = 81 + -11 Combine like terms: 11 + -11 = 0 0 + 35x = 81 + -11 35x = 81 + -11 Combine like terms: 81 + -11 = 70 35x = 70 Divide each side by '35'. x = 2 Simplifying x = 2
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