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Simplifying 3(x + 1) + -5x = -8 + -1(1 + x) Reorder the terms: 3(1 + x) + -5x = -8 + -1(1 + x) (1 * 3 + x * 3) + -5x = -8 + -1(1 + x) (3 + 3x) + -5x = -8 + -1(1 + x) Combine like terms: 3x + -5x = -2x 3 + -2x = -8 + -1(1 + x) 3 + -2x = -8 + (1 * -1 + x * -1) 3 + -2x = -8 + (-1 + -1x) Combine like terms: -8 + -1 = -9 3 + -2x = -9 + -1x Solving 3 + -2x = -9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + -2x + x = -9 + -1x + x Combine like terms: -2x + x = -1x 3 + -1x = -9 + -1x + x Combine like terms: -1x + x = 0 3 + -1x = -9 + 0 3 + -1x = -9 Add '-3' to each side of the equation. 3 + -3 + -1x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -9 + -3 -1x = -9 + -3 Combine like terms: -9 + -3 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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