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