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Simplifying 3(x + -1) + 2(x + 5) = 3x + -1 Reorder the terms: 3(-1 + x) + 2(x + 5) = 3x + -1 (-1 * 3 + x * 3) + 2(x + 5) = 3x + -1 (-3 + 3x) + 2(x + 5) = 3x + -1 Reorder the terms: -3 + 3x + 2(5 + x) = 3x + -1 -3 + 3x + (5 * 2 + x * 2) = 3x + -1 -3 + 3x + (10 + 2x) = 3x + -1 Reorder the terms: -3 + 10 + 3x + 2x = 3x + -1 Combine like terms: -3 + 10 = 7 7 + 3x + 2x = 3x + -1 Combine like terms: 3x + 2x = 5x 7 + 5x = 3x + -1 Reorder the terms: 7 + 5x = -1 + 3x Solving 7 + 5x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 5x + -3x = -1 + 3x + -3x Combine like terms: 5x + -3x = 2x 7 + 2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 2x = -1 + 0 7 + 2x = -1 Add '-7' to each side of the equation. 7 + -7 + 2x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -1 + -7 2x = -1 + -7 Combine like terms: -1 + -7 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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