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Simplifying 3x + (x + 1) + -1(x + -5) = 8 + -1(2x + -6 + x) Reorder the terms: 3x + (1 + x) + -1(x + -5) = 8 + -1(2x + -6 + x) Remove parenthesis around (1 + x) 3x + 1 + x + -1(x + -5) = 8 + -1(2x + -6 + x) Reorder the terms: 3x + 1 + x + -1(-5 + x) = 8 + -1(2x + -6 + x) 3x + 1 + x + (-5 * -1 + x * -1) = 8 + -1(2x + -6 + x) 3x + 1 + x + (5 + -1x) = 8 + -1(2x + -6 + x) Reorder the terms: 1 + 5 + 3x + x + -1x = 8 + -1(2x + -6 + x) Combine like terms: 1 + 5 = 6 6 + 3x + x + -1x = 8 + -1(2x + -6 + x) Combine like terms: 3x + x = 4x 6 + 4x + -1x = 8 + -1(2x + -6 + x) Combine like terms: 4x + -1x = 3x 6 + 3x = 8 + -1(2x + -6 + x) Reorder the terms: 6 + 3x = 8 + -1(-6 + 2x + x) Combine like terms: 2x + x = 3x 6 + 3x = 8 + -1(-6 + 3x) 6 + 3x = 8 + (-6 * -1 + 3x * -1) 6 + 3x = 8 + (6 + -3x) Combine like terms: 8 + 6 = 14 6 + 3x = 14 + -3x Solving 6 + 3x = 14 + -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. 6 + 3x + 3x = 14 + -3x + 3x Combine like terms: 3x + 3x = 6x 6 + 6x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 6x = 14 + 0 6 + 6x = 14 Add '-6' to each side of the equation. 6 + -6 + 6x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 14 + -6 6x = 14 + -6 Combine like terms: 14 + -6 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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