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Simplifying 5(x + 6) + 2(2x + -9) = 39 Reorder the terms: 5(6 + x) + 2(2x + -9) = 39 (6 * 5 + x * 5) + 2(2x + -9) = 39 (30 + 5x) + 2(2x + -9) = 39 Reorder the terms: 30 + 5x + 2(-9 + 2x) = 39 30 + 5x + (-9 * 2 + 2x * 2) = 39 30 + 5x + (-18 + 4x) = 39 Reorder the terms: 30 + -18 + 5x + 4x = 39 Combine like terms: 30 + -18 = 12 12 + 5x + 4x = 39 Combine like terms: 5x + 4x = 9x 12 + 9x = 39 Solving 12 + 9x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9x = 39 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 39 + -12 9x = 39 + -12 Combine like terms: 39 + -12 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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