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Simplifying 5(x + 5) = 2(x + 20) Reorder the terms: 5(5 + x) = 2(x + 20) (5 * 5 + x * 5) = 2(x + 20) (25 + 5x) = 2(x + 20) Reorder the terms: 25 + 5x = 2(20 + x) 25 + 5x = (20 * 2 + x * 2) 25 + 5x = (40 + 2x) Solving 25 + 5x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + 5x + -2x = 40 + 2x + -2x Combine like terms: 5x + -2x = 3x 25 + 3x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 3x = 40 + 0 25 + 3x = 40 Add '-25' to each side of the equation. 25 + -25 + 3x = 40 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 40 + -25 3x = 40 + -25 Combine like terms: 40 + -25 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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