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Simplifying 3(x + 2) = -2(x + 4) Reorder the terms: 3(2 + x) = -2(x + 4) (2 * 3 + x * 3) = -2(x + 4) (6 + 3x) = -2(x + 4) Reorder the terms: 6 + 3x = -2(4 + x) 6 + 3x = (4 * -2 + x * -2) 6 + 3x = (-8 + -2x) Solving 6 + 3x = -8 + -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. 6 + 3x + 2x = -8 + -2x + 2x Combine like terms: 3x + 2x = 5x 6 + 5x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 5x = -8 + 0 6 + 5x = -8 Add '-6' to each side of the equation. 6 + -6 + 5x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -8 + -6 5x = -8 + -6 Combine like terms: -8 + -6 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8
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