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Simplifying (3x + 4) + -1(x + -1) = (4x + 3) + -1(3x + 4) Reorder the terms: (4 + 3x) + -1(x + -1) = (4x + 3) + -1(3x + 4) Remove parenthesis around (4 + 3x) 4 + 3x + -1(x + -1) = (4x + 3) + -1(3x + 4) Reorder the terms: 4 + 3x + -1(-1 + x) = (4x + 3) + -1(3x + 4) 4 + 3x + (-1 * -1 + x * -1) = (4x + 3) + -1(3x + 4) 4 + 3x + (1 + -1x) = (4x + 3) + -1(3x + 4) Reorder the terms: 4 + 1 + 3x + -1x = (4x + 3) + -1(3x + 4) Combine like terms: 4 + 1 = 5 5 + 3x + -1x = (4x + 3) + -1(3x + 4) Combine like terms: 3x + -1x = 2x 5 + 2x = (4x + 3) + -1(3x + 4) Reorder the terms: 5 + 2x = (3 + 4x) + -1(3x + 4) Remove parenthesis around (3 + 4x) 5 + 2x = 3 + 4x + -1(3x + 4) Reorder the terms: 5 + 2x = 3 + 4x + -1(4 + 3x) 5 + 2x = 3 + 4x + (4 * -1 + 3x * -1) 5 + 2x = 3 + 4x + (-4 + -3x) Reorder the terms: 5 + 2x = 3 + -4 + 4x + -3x Combine like terms: 3 + -4 = -1 5 + 2x = -1 + 4x + -3x Combine like terms: 4x + -3x = 1x 5 + 2x = -1 + 1x Solving 5 + 2x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = -1 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = -1 + 0 5 + 1x = -1 Add '-5' to each side of the equation. 5 + -5 + 1x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -1 + -5 1x = -1 + -5 Combine like terms: -1 + -5 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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