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Simplifying 115 = (5x + 15) + (10x + -20) Reorder the terms: 115 = (15 + 5x) + (10x + -20) Remove parenthesis around (15 + 5x) 115 = 15 + 5x + (10x + -20) Reorder the terms: 115 = 15 + 5x + (-20 + 10x) Remove parenthesis around (-20 + 10x) 115 = 15 + 5x + -20 + 10x Reorder the terms: 115 = 15 + -20 + 5x + 10x Combine like terms: 15 + -20 = -5 115 = -5 + 5x + 10x Combine like terms: 5x + 10x = 15x 115 = -5 + 15x Solving 115 = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 115 + -15x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 115 + -15x = -5 + 0 115 + -15x = -5 Add '-115' to each side of the equation. 115 + -115 + -15x = -5 + -115 Combine like terms: 115 + -115 = 0 0 + -15x = -5 + -115 -15x = -5 + -115 Combine like terms: -5 + -115 = -120 -15x = -120 Divide each side by '-15'. x = 8 Simplifying x = 8
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