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Simplifying 26 + -4x = -5(-4x + 5) + -5(-8 + -3x) Reorder the terms: 26 + -4x = -5(5 + -4x) + -5(-8 + -3x) 26 + -4x = (5 * -5 + -4x * -5) + -5(-8 + -3x) 26 + -4x = (-25 + 20x) + -5(-8 + -3x) 26 + -4x = -25 + 20x + (-8 * -5 + -3x * -5) 26 + -4x = -25 + 20x + (40 + 15x) Reorder the terms: 26 + -4x = -25 + 40 + 20x + 15x Combine like terms: -25 + 40 = 15 26 + -4x = 15 + 20x + 15x Combine like terms: 20x + 15x = 35x 26 + -4x = 15 + 35x Solving 26 + -4x = 15 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 26 + -4x + -35x = 15 + 35x + -35x Combine like terms: -4x + -35x = -39x 26 + -39x = 15 + 35x + -35x Combine like terms: 35x + -35x = 0 26 + -39x = 15 + 0 26 + -39x = 15 Add '-26' to each side of the equation. 26 + -26 + -39x = 15 + -26 Combine like terms: 26 + -26 = 0 0 + -39x = 15 + -26 -39x = 15 + -26 Combine like terms: 15 + -26 = -11 -39x = -11 Divide each side by '-39'. x = 0.2820512821 Simplifying x = 0.2820512821
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