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