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Simplifying (x + -3) + -1(5 + -3x) = 2(x + 1) Reorder the terms: (-3 + x) + -1(5 + -3x) = 2(x + 1) Remove parenthesis around (-3 + x) -3 + x + -1(5 + -3x) = 2(x + 1) -3 + x + (5 * -1 + -3x * -1) = 2(x + 1) -3 + x + (-5 + 3x) = 2(x + 1) Reorder the terms: -3 + -5 + x + 3x = 2(x + 1) Combine like terms: -3 + -5 = -8 -8 + x + 3x = 2(x + 1) Combine like terms: x + 3x = 4x -8 + 4x = 2(x + 1) Reorder the terms: -8 + 4x = 2(1 + x) -8 + 4x = (1 * 2 + x * 2) -8 + 4x = (2 + 2x) Solving -8 + 4x = 2 + 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. -8 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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