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Simplifying 5(x + 10) * 25 = 5x + 25 Reorder the terms: 5(10 + x) * 25 = 5x + 25 Reorder the terms for easier multiplication: 5 * 25(10 + x) = 5x + 25 Multiply 5 * 25 125(10 + x) = 5x + 25 (10 * 125 + x * 125) = 5x + 25 (1250 + 125x) = 5x + 25 Reorder the terms: 1250 + 125x = 25 + 5x Solving 1250 + 125x = 25 + 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. 1250 + 125x + -5x = 25 + 5x + -5x Combine like terms: 125x + -5x = 120x 1250 + 120x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 1250 + 120x = 25 + 0 1250 + 120x = 25 Add '-1250' to each side of the equation. 1250 + -1250 + 120x = 25 + -1250 Combine like terms: 1250 + -1250 = 0 0 + 120x = 25 + -1250 120x = 25 + -1250 Combine like terms: 25 + -1250 = -1225 120x = -1225 Divide each side by '120'. x = -10.20833333 Simplifying x = -10.20833333
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