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Simplifying (15x + -5) = (10x + 35) Reorder the terms: (-5 + 15x) = (10x + 35) Remove parenthesis around (-5 + 15x) -5 + 15x = (10x + 35) Reorder the terms: -5 + 15x = (35 + 10x) Remove parenthesis around (35 + 10x) -5 + 15x = 35 + 10x Solving -5 + 15x = 35 + 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. -5 + 15x + -10x = 35 + 10x + -10x Combine like terms: 15x + -10x = 5x -5 + 5x = 35 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + 5x = 35 + 0 -5 + 5x = 35 Add '5' to each side of the equation. -5 + 5 + 5x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 35 + 5 5x = 35 + 5 Combine like terms: 35 + 5 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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