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Simplifying 3(2x + 1) + -1(x + -2) = 2(3x + 4) Reorder the terms: 3(1 + 2x) + -1(x + -2) = 2(3x + 4) (1 * 3 + 2x * 3) + -1(x + -2) = 2(3x + 4) (3 + 6x) + -1(x + -2) = 2(3x + 4) Reorder the terms: 3 + 6x + -1(-2 + x) = 2(3x + 4) 3 + 6x + (-2 * -1 + x * -1) = 2(3x + 4) 3 + 6x + (2 + -1x) = 2(3x + 4) Reorder the terms: 3 + 2 + 6x + -1x = 2(3x + 4) Combine like terms: 3 + 2 = 5 5 + 6x + -1x = 2(3x + 4) Combine like terms: 6x + -1x = 5x 5 + 5x = 2(3x + 4) Reorder the terms: 5 + 5x = 2(4 + 3x) 5 + 5x = (4 * 2 + 3x * 2) 5 + 5x = (8 + 6x) Solving 5 + 5x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 5x + -6x = 8 + 6x + -6x Combine like terms: 5x + -6x = -1x 5 + -1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -1x = 8 + 0 5 + -1x = 8 Add '-5' to each side of the equation. 5 + -5 + -1x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 8 + -5 -1x = 8 + -5 Combine like terms: 8 + -5 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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