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Simplifying 3(x + 2) + -5(x + -4) = 5 + -8x Reorder the terms: 3(2 + x) + -5(x + -4) = 5 + -8x (2 * 3 + x * 3) + -5(x + -4) = 5 + -8x (6 + 3x) + -5(x + -4) = 5 + -8x Reorder the terms: 6 + 3x + -5(-4 + x) = 5 + -8x 6 + 3x + (-4 * -5 + x * -5) = 5 + -8x 6 + 3x + (20 + -5x) = 5 + -8x Reorder the terms: 6 + 20 + 3x + -5x = 5 + -8x Combine like terms: 6 + 20 = 26 26 + 3x + -5x = 5 + -8x Combine like terms: 3x + -5x = -2x 26 + -2x = 5 + -8x Solving 26 + -2x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 26 + -2x + 8x = 5 + -8x + 8x Combine like terms: -2x + 8x = 6x 26 + 6x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 26 + 6x = 5 + 0 26 + 6x = 5 Add '-26' to each side of the equation. 26 + -26 + 6x = 5 + -26 Combine like terms: 26 + -26 = 0 0 + 6x = 5 + -26 6x = 5 + -26 Combine like terms: 5 + -26 = -21 6x = -21 Divide each side by '6'. x = -3.5 Simplifying x = -3.5
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