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Simplifying 5(2x + 5) = 75 + -5x Reorder the terms: 5(5 + 2x) = 75 + -5x (5 * 5 + 2x * 5) = 75 + -5x (25 + 10x) = 75 + -5x Solving 25 + 10x = 75 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 25 + 10x + 5x = 75 + -5x + 5x Combine like terms: 10x + 5x = 15x 25 + 15x = 75 + -5x + 5x Combine like terms: -5x + 5x = 0 25 + 15x = 75 + 0 25 + 15x = 75 Add '-25' to each side of the equation. 25 + -25 + 15x = 75 + -25 Combine like terms: 25 + -25 = 0 0 + 15x = 75 + -25 15x = 75 + -25 Combine like terms: 75 + -25 = 50 15x = 50 Divide each side by '15'. x = 3.333333333 Simplifying x = 3.333333333
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