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Simplifying 3(x + 1) + 5x = -1 + 5(x + -1) Reorder the terms: 3(1 + x) + 5x = -1 + 5(x + -1) (1 * 3 + x * 3) + 5x = -1 + 5(x + -1) (3 + 3x) + 5x = -1 + 5(x + -1) Combine like terms: 3x + 5x = 8x 3 + 8x = -1 + 5(x + -1) Reorder the terms: 3 + 8x = -1 + 5(-1 + x) 3 + 8x = -1 + (-1 * 5 + x * 5) 3 + 8x = -1 + (-5 + 5x) Combine like terms: -1 + -5 = -6 3 + 8x = -6 + 5x Solving 3 + 8x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 8x + -5x = -6 + 5x + -5x Combine like terms: 8x + -5x = 3x 3 + 3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 3x = -6 + 0 3 + 3x = -6 Add '-3' to each side of the equation. 3 + -3 + 3x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -6 + -3 3x = -6 + -3 Combine like terms: -6 + -3 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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