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Simplifying 5 + 2(x + 5) = 10 + 2(4 + -5x) Reorder the terms: 5 + 2(5 + x) = 10 + 2(4 + -5x) 5 + (5 * 2 + x * 2) = 10 + 2(4 + -5x) 5 + (10 + 2x) = 10 + 2(4 + -5x) Combine like terms: 5 + 10 = 15 15 + 2x = 10 + 2(4 + -5x) 15 + 2x = 10 + (4 * 2 + -5x * 2) 15 + 2x = 10 + (8 + -10x) Combine like terms: 10 + 8 = 18 15 + 2x = 18 + -10x Solving 15 + 2x = 18 + -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. 15 + 2x + 10x = 18 + -10x + 10x Combine like terms: 2x + 10x = 12x 15 + 12x = 18 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 12x = 18 + 0 15 + 12x = 18 Add '-15' to each side of the equation. 15 + -15 + 12x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 18 + -15 12x = 18 + -15 Combine like terms: 18 + -15 = 3 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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