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Simplifying 3(2x + -1) + 2(x + 5) = 127 Reorder the terms: 3(-1 + 2x) + 2(x + 5) = 127 (-1 * 3 + 2x * 3) + 2(x + 5) = 127 (-3 + 6x) + 2(x + 5) = 127 Reorder the terms: -3 + 6x + 2(5 + x) = 127 -3 + 6x + (5 * 2 + x * 2) = 127 -3 + 6x + (10 + 2x) = 127 Reorder the terms: -3 + 10 + 6x + 2x = 127 Combine like terms: -3 + 10 = 7 7 + 6x + 2x = 127 Combine like terms: 6x + 2x = 8x 7 + 8x = 127 Solving 7 + 8x = 127 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8x = 127 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 127 + -7 8x = 127 + -7 Combine like terms: 127 + -7 = 120 8x = 120 Divide each side by '8'. x = 15 Simplifying x = 15
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