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Simplifying (x + 3) + -1(2x + -1) = 3(x + 4) Reorder the terms: (3 + x) + -1(2x + -1) = 3(x + 4) Remove parenthesis around (3 + x) 3 + x + -1(2x + -1) = 3(x + 4) Reorder the terms: 3 + x + -1(-1 + 2x) = 3(x + 4) 3 + x + (-1 * -1 + 2x * -1) = 3(x + 4) 3 + x + (1 + -2x) = 3(x + 4) Reorder the terms: 3 + 1 + x + -2x = 3(x + 4) Combine like terms: 3 + 1 = 4 4 + x + -2x = 3(x + 4) Combine like terms: x + -2x = -1x 4 + -1x = 3(x + 4) Reorder the terms: 4 + -1x = 3(4 + x) 4 + -1x = (4 * 3 + x * 3) 4 + -1x = (12 + 3x) Solving 4 + -1x = 12 + 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. 4 + -1x + -3x = 12 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = 12 + 0 4 + -4x = 12 Add '-4' to each side of the equation. 4 + -4 + -4x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 12 + -4 -4x = 12 + -4 Combine like terms: 12 + -4 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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