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