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Simplifying 25(x + 4) = 5(2x + 5) Reorder the terms: 25(4 + x) = 5(2x + 5) (4 * 25 + x * 25) = 5(2x + 5) (100 + 25x) = 5(2x + 5) Reorder the terms: 100 + 25x = 5(5 + 2x) 100 + 25x = (5 * 5 + 2x * 5) 100 + 25x = (25 + 10x) Solving 100 + 25x = 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. 100 + 25x + -10x = 25 + 10x + -10x Combine like terms: 25x + -10x = 15x 100 + 15x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + 15x = 25 + 0 100 + 15x = 25 Add '-100' to each side of the equation. 100 + -100 + 15x = 25 + -100 Combine like terms: 100 + -100 = 0 0 + 15x = 25 + -100 15x = 25 + -100 Combine like terms: 25 + -100 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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