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Simplifying 2(x + 4) + -3(x + -6) = -2(x + 4) Reorder the terms: 2(4 + x) + -3(x + -6) = -2(x + 4) (4 * 2 + x * 2) + -3(x + -6) = -2(x + 4) (8 + 2x) + -3(x + -6) = -2(x + 4) Reorder the terms: 8 + 2x + -3(-6 + x) = -2(x + 4) 8 + 2x + (-6 * -3 + x * -3) = -2(x + 4) 8 + 2x + (18 + -3x) = -2(x + 4) Reorder the terms: 8 + 18 + 2x + -3x = -2(x + 4) Combine like terms: 8 + 18 = 26 26 + 2x + -3x = -2(x + 4) Combine like terms: 2x + -3x = -1x 26 + -1x = -2(x + 4) Reorder the terms: 26 + -1x = -2(4 + x) 26 + -1x = (4 * -2 + x * -2) 26 + -1x = (-8 + -2x) Solving 26 + -1x = -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. 26 + -1x + 2x = -8 + -2x + 2x Combine like terms: -1x + 2x = 1x 26 + 1x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 26 + 1x = -8 + 0 26 + 1x = -8 Add '-26' to each side of the equation. 26 + -26 + 1x = -8 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = -8 + -26 1x = -8 + -26 Combine like terms: -8 + -26 = -34 1x = -34 Divide each side by '1'. x = -34 Simplifying x = -34
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