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Simplifying 3(2x + 1) + -1(x + 2) = 2x + -3(x + -1) Reorder the terms: 3(1 + 2x) + -1(x + 2) = 2x + -3(x + -1) (1 * 3 + 2x * 3) + -1(x + 2) = 2x + -3(x + -1) (3 + 6x) + -1(x + 2) = 2x + -3(x + -1) Reorder the terms: 3 + 6x + -1(2 + x) = 2x + -3(x + -1) 3 + 6x + (2 * -1 + x * -1) = 2x + -3(x + -1) 3 + 6x + (-2 + -1x) = 2x + -3(x + -1) Reorder the terms: 3 + -2 + 6x + -1x = 2x + -3(x + -1) Combine like terms: 3 + -2 = 1 1 + 6x + -1x = 2x + -3(x + -1) Combine like terms: 6x + -1x = 5x 1 + 5x = 2x + -3(x + -1) Reorder the terms: 1 + 5x = 2x + -3(-1 + x) 1 + 5x = 2x + (-1 * -3 + x * -3) 1 + 5x = 2x + (3 + -3x) Reorder the terms: 1 + 5x = 3 + 2x + -3x Combine like terms: 2x + -3x = -1x 1 + 5x = 3 + -1x Solving 1 + 5x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 5x + x = 3 + -1x + x Combine like terms: 5x + x = 6x 1 + 6x = 3 + -1x + x Combine like terms: -1x + x = 0 1 + 6x = 3 + 0 1 + 6x = 3 Add '-1' to each side of the equation. 1 + -1 + 6x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 3 + -1 6x = 3 + -1 Combine like terms: 3 + -1 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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