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Simplifying -5(-8 + -4x) = -8 + 5(1 + 7x) (-8 * -5 + -4x * -5) = -8 + 5(1 + 7x) (40 + 20x) = -8 + 5(1 + 7x) 40 + 20x = -8 + (1 * 5 + 7x * 5) 40 + 20x = -8 + (5 + 35x) Combine like terms: -8 + 5 = -3 40 + 20x = -3 + 35x Solving 40 + 20x = -3 + 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. 40 + 20x + -35x = -3 + 35x + -35x Combine like terms: 20x + -35x = -15x 40 + -15x = -3 + 35x + -35x Combine like terms: 35x + -35x = 0 40 + -15x = -3 + 0 40 + -15x = -3 Add '-40' to each side of the equation. 40 + -40 + -15x = -3 + -40 Combine like terms: 40 + -40 = 0 0 + -15x = -3 + -40 -15x = -3 + -40 Combine like terms: -3 + -40 = -43 -15x = -43 Divide each side by '-15'. x = 2.866666667 Simplifying x = 2.866666667
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