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Simplifying x + 3 = -2(x + 1) Reorder the terms: 3 + x = -2(x + 1) Reorder the terms: 3 + x = -2(1 + x) 3 + x = (1 * -2 + x * -2) 3 + x = (-2 + -2x) Solving 3 + x = -2 + -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 + x + 2x = -2 + -2x + 2x Combine like terms: x + 2x = 3x 3 + 3x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 3x = -2 + 0 3 + 3x = -2 Add '-3' to each side of the equation. 3 + -3 + 3x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -2 + -3 3x = -2 + -3 Combine like terms: -2 + -3 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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