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Simplifying 3(5x + 2) + -3(4x + -1) = 39 Reorder the terms: 3(2 + 5x) + -3(4x + -1) = 39 (2 * 3 + 5x * 3) + -3(4x + -1) = 39 (6 + 15x) + -3(4x + -1) = 39 Reorder the terms: 6 + 15x + -3(-1 + 4x) = 39 6 + 15x + (-1 * -3 + 4x * -3) = 39 6 + 15x + (3 + -12x) = 39 Reorder the terms: 6 + 3 + 15x + -12x = 39 Combine like terms: 6 + 3 = 9 9 + 15x + -12x = 39 Combine like terms: 15x + -12x = 3x 9 + 3x = 39 Solving 9 + 3x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3x = 39 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 39 + -9 3x = 39 + -9 Combine like terms: 39 + -9 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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