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Simplifying x + -1(x + 2) = 3(x + 1) Reorder the terms: x + -1(2 + x) = 3(x + 1) x + (2 * -1 + x * -1) = 3(x + 1) x + (-2 + -1x) = 3(x + 1) Reorder the terms: -2 + x + -1x = 3(x + 1) Combine like terms: x + -1x = 0 -2 + 0 = 3(x + 1) -2 = 3(x + 1) Reorder the terms: -2 = 3(1 + x) -2 = (1 * 3 + x * 3) -2 = (3 + 3x) Solving -2 = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -3x = 3 + 0 -2 + -3x = 3 Add '2' to each side of the equation. -2 + 2 + -3x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 3 + 2 -3x = 3 + 2 Combine like terms: 3 + 2 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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