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Simplifying 3x + 2 = -1(x + 1) Reorder the terms: 2 + 3x = -1(x + 1) Reorder the terms: 2 + 3x = -1(1 + x) 2 + 3x = (1 * -1 + x * -1) 2 + 3x = (-1 + -1x) Solving 2 + 3x = -1 + -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. 2 + 3x + x = -1 + -1x + x Combine like terms: 3x + x = 4x 2 + 4x = -1 + -1x + x Combine like terms: -1x + x = 0 2 + 4x = -1 + 0 2 + 4x = -1 Add '-2' to each side of the equation. 2 + -2 + 4x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -1 + -2 4x = -1 + -2 Combine like terms: -1 + -2 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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