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Simplifying 5(5 + -7x) = 8 + -1(4x + 6) (5 * 5 + -7x * 5) = 8 + -1(4x + 6) (25 + -35x) = 8 + -1(4x + 6) Reorder the terms: 25 + -35x = 8 + -1(6 + 4x) 25 + -35x = 8 + (6 * -1 + 4x * -1) 25 + -35x = 8 + (-6 + -4x) Combine like terms: 8 + -6 = 2 25 + -35x = 2 + -4x Solving 25 + -35x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 25 + -35x + 4x = 2 + -4x + 4x Combine like terms: -35x + 4x = -31x 25 + -31x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 25 + -31x = 2 + 0 25 + -31x = 2 Add '-25' to each side of the equation. 25 + -25 + -31x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + -31x = 2 + -25 -31x = 2 + -25 Combine like terms: 2 + -25 = -23 -31x = -23 Divide each side by '-31'. x = 0.7419354839 Simplifying x = 0.7419354839
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