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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 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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