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Simplifying 5 + 2(x + 5) = 10 + -1(4 + -5x) Reorder the terms: 5 + 2(5 + x) = 10 + -1(4 + -5x) 5 + (5 * 2 + x * 2) = 10 + -1(4 + -5x) 5 + (10 + 2x) = 10 + -1(4 + -5x) Combine like terms: 5 + 10 = 15 15 + 2x = 10 + -1(4 + -5x) 15 + 2x = 10 + (4 * -1 + -5x * -1) 15 + 2x = 10 + (-4 + 5x) Combine like terms: 10 + -4 = 6 15 + 2x = 6 + 5x Solving 15 + 2x = 6 + 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. 15 + 2x + -5x = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x 15 + -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -3x = 6 + 0 15 + -3x = 6 Add '-15' to each side of the equation. 15 + -15 + -3x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 6 + -15 -3x = 6 + -15 Combine like terms: 6 + -15 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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