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Simplifying 5(x + 4) + 3(2x + -1) = 39 Reorder the terms: 5(4 + x) + 3(2x + -1) = 39 (4 * 5 + x * 5) + 3(2x + -1) = 39 (20 + 5x) + 3(2x + -1) = 39 Reorder the terms: 20 + 5x + 3(-1 + 2x) = 39 20 + 5x + (-1 * 3 + 2x * 3) = 39 20 + 5x + (-3 + 6x) = 39 Reorder the terms: 20 + -3 + 5x + 6x = 39 Combine like terms: 20 + -3 = 17 17 + 5x + 6x = 39 Combine like terms: 5x + 6x = 11x 17 + 11x = 39 Solving 17 + 11x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 11x = 39 + -17 Combine like terms: 17 + -17 = 0 0 + 11x = 39 + -17 11x = 39 + -17 Combine like terms: 39 + -17 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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