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Simplifying 5(4x + 1) = 25 + -10x Reorder the terms: 5(1 + 4x) = 25 + -10x (1 * 5 + 4x * 5) = 25 + -10x (5 + 20x) = 25 + -10x Solving 5 + 20x = 25 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 5 + 20x + 10x = 25 + -10x + 10x Combine like terms: 20x + 10x = 30x 5 + 30x = 25 + -10x + 10x Combine like terms: -10x + 10x = 0 5 + 30x = 25 + 0 5 + 30x = 25 Add '-5' to each side of the equation. 5 + -5 + 30x = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 30x = 25 + -5 30x = 25 + -5 Combine like terms: 25 + -5 = 20 30x = 20 Divide each side by '30'. x = 0.6666666667 Simplifying x = 0.6666666667
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