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Simplifying 3(x + 2) + 4 = -2(x + -1) Reorder the terms: 3(2 + x) + 4 = -2(x + -1) (2 * 3 + x * 3) + 4 = -2(x + -1) (6 + 3x) + 4 = -2(x + -1) Reorder the terms: 6 + 4 + 3x = -2(x + -1) Combine like terms: 6 + 4 = 10 10 + 3x = -2(x + -1) Reorder the terms: 10 + 3x = -2(-1 + x) 10 + 3x = (-1 * -2 + x * -2) 10 + 3x = (2 + -2x) Solving 10 + 3x = 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. 10 + 3x + 2x = 2 + -2x + 2x Combine like terms: 3x + 2x = 5x 10 + 5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 5x = 2 + 0 10 + 5x = 2 Add '-10' to each side of the equation. 10 + -10 + 5x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 2 + -10 5x = 2 + -10 Combine like terms: 2 + -10 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6
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