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Simplifying 3(5x + -1) + -2(x + -2) = 27 Reorder the terms: 3(-1 + 5x) + -2(x + -2) = 27 (-1 * 3 + 5x * 3) + -2(x + -2) = 27 (-3 + 15x) + -2(x + -2) = 27 Reorder the terms: -3 + 15x + -2(-2 + x) = 27 -3 + 15x + (-2 * -2 + x * -2) = 27 -3 + 15x + (4 + -2x) = 27 Reorder the terms: -3 + 4 + 15x + -2x = 27 Combine like terms: -3 + 4 = 1 1 + 15x + -2x = 27 Combine like terms: 15x + -2x = 13x 1 + 13x = 27 Solving 1 + 13x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 13x = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 27 + -1 13x = 27 + -1 Combine like terms: 27 + -1 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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