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Simplifying 2(x + 4) = -3(x + 6) Reorder the terms: 2(4 + x) = -3(x + 6) (4 * 2 + x * 2) = -3(x + 6) (8 + 2x) = -3(x + 6) Reorder the terms: 8 + 2x = -3(6 + x) 8 + 2x = (6 * -3 + x * -3) 8 + 2x = (-18 + -3x) Solving 8 + 2x = -18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 2x + 3x = -18 + -3x + 3x Combine like terms: 2x + 3x = 5x 8 + 5x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 5x = -18 + 0 8 + 5x = -18 Add '-8' to each side of the equation. 8 + -8 + 5x = -18 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -18 + -8 5x = -18 + -8 Combine like terms: -18 + -8 = -26 5x = -26 Divide each side by '5'. x = -5.2 Simplifying x = -5.2
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