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Simplifying 2x + 3(x + -1) = -2(x + 1) + 12 Reorder the terms: 2x + 3(-1 + x) = -2(x + 1) + 12 2x + (-1 * 3 + x * 3) = -2(x + 1) + 12 2x + (-3 + 3x) = -2(x + 1) + 12 Reorder the terms: -3 + 2x + 3x = -2(x + 1) + 12 Combine like terms: 2x + 3x = 5x -3 + 5x = -2(x + 1) + 12 Reorder the terms: -3 + 5x = -2(1 + x) + 12 -3 + 5x = (1 * -2 + x * -2) + 12 -3 + 5x = (-2 + -2x) + 12 Reorder the terms: -3 + 5x = -2 + 12 + -2x Combine like terms: -2 + 12 = 10 -3 + 5x = 10 + -2x Solving -3 + 5x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 5x + 2x = 10 + -2x + 2x Combine like terms: 5x + 2x = 7x -3 + 7x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 7x = 10 + 0 -3 + 7x = 10 Add '3' to each side of the equation. -3 + 3 + 7x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 10 + 3 7x = 10 + 3 Combine like terms: 10 + 3 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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