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Simplifying 3(x + -1) = 2(5 + -2x) Reorder the terms: 3(-1 + x) = 2(5 + -2x) (-1 * 3 + x * 3) = 2(5 + -2x) (-3 + 3x) = 2(5 + -2x) -3 + 3x = (5 * 2 + -2x * 2) -3 + 3x = (10 + -4x) Solving -3 + 3x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 3x + 4x = 10 + -4x + 4x Combine like terms: 3x + 4x = 7x -3 + 7x = 10 + -4x + 4x Combine like terms: -4x + 4x = 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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