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Simplifying 5(9 + -9x + -5x) + 9(7x + 6) = 15 Combine like terms: -9x + -5x = -14x 5(9 + -14x) + 9(7x + 6) = 15 (9 * 5 + -14x * 5) + 9(7x + 6) = 15 (45 + -70x) + 9(7x + 6) = 15 Reorder the terms: 45 + -70x + 9(6 + 7x) = 15 45 + -70x + (6 * 9 + 7x * 9) = 15 45 + -70x + (54 + 63x) = 15 Reorder the terms: 45 + 54 + -70x + 63x = 15 Combine like terms: 45 + 54 = 99 99 + -70x + 63x = 15 Combine like terms: -70x + 63x = -7x 99 + -7x = 15 Solving 99 + -7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + -7x = 15 + -99 Combine like terms: 99 + -99 = 0 0 + -7x = 15 + -99 -7x = 15 + -99 Combine like terms: 15 + -99 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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