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Simplifying 3(2x + -1) + 2(x + 5) = -1 Reorder the terms: 3(-1 + 2x) + 2(x + 5) = -1 (-1 * 3 + 2x * 3) + 2(x + 5) = -1 (-3 + 6x) + 2(x + 5) = -1 Reorder the terms: -3 + 6x + 2(5 + x) = -1 -3 + 6x + (5 * 2 + x * 2) = -1 -3 + 6x + (10 + 2x) = -1 Reorder the terms: -3 + 10 + 6x + 2x = -1 Combine like terms: -3 + 10 = 7 7 + 6x + 2x = -1 Combine like terms: 6x + 2x = 8x 7 + 8x = -1 Solving 7 + 8x = -1 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 = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = -1 + -7 8x = -1 + -7 Combine like terms: -1 + -7 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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