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Simplifying (3x + 2) + -1(4x + -1) = -2(5x + 3) Reorder the terms: (2 + 3x) + -1(4x + -1) = -2(5x + 3) Remove parenthesis around (2 + 3x) 2 + 3x + -1(4x + -1) = -2(5x + 3) Reorder the terms: 2 + 3x + -1(-1 + 4x) = -2(5x + 3) 2 + 3x + (-1 * -1 + 4x * -1) = -2(5x + 3) 2 + 3x + (1 + -4x) = -2(5x + 3) Reorder the terms: 2 + 1 + 3x + -4x = -2(5x + 3) Combine like terms: 2 + 1 = 3 3 + 3x + -4x = -2(5x + 3) Combine like terms: 3x + -4x = -1x 3 + -1x = -2(5x + 3) Reorder the terms: 3 + -1x = -2(3 + 5x) 3 + -1x = (3 * -2 + 5x * -2) 3 + -1x = (-6 + -10x) Solving 3 + -1x = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + -1x + 10x = -6 + -10x + 10x Combine like terms: -1x + 10x = 9x 3 + 9x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 9x = -6 + 0 3 + 9x = -6 Add '-3' to each side of the equation. 3 + -3 + 9x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 9x = -6 + -3 9x = -6 + -3 Combine like terms: -6 + -3 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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