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Simplifying 2(x + 3) + -4(x + -5) = 8 + -5x Reorder the terms: 2(3 + x) + -4(x + -5) = 8 + -5x (3 * 2 + x * 2) + -4(x + -5) = 8 + -5x (6 + 2x) + -4(x + -5) = 8 + -5x Reorder the terms: 6 + 2x + -4(-5 + x) = 8 + -5x 6 + 2x + (-5 * -4 + x * -4) = 8 + -5x 6 + 2x + (20 + -4x) = 8 + -5x Reorder the terms: 6 + 20 + 2x + -4x = 8 + -5x Combine like terms: 6 + 20 = 26 26 + 2x + -4x = 8 + -5x Combine like terms: 2x + -4x = -2x 26 + -2x = 8 + -5x Solving 26 + -2x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 26 + -2x + 5x = 8 + -5x + 5x Combine like terms: -2x + 5x = 3x 26 + 3x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 26 + 3x = 8 + 0 26 + 3x = 8 Add '-26' to each side of the equation. 26 + -26 + 3x = 8 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 8 + -26 3x = 8 + -26 Combine like terms: 8 + -26 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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