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Simplifying (3y + -5) + (8x + -5) + (5x + -10) = 115 Reorder the terms: (-5 + 3y) + (8x + -5) + (5x + -10) = 115 Remove parenthesis around (-5 + 3y) -5 + 3y + (8x + -5) + (5x + -10) = 115 Reorder the terms: -5 + 3y + (-5 + 8x) + (5x + -10) = 115 Remove parenthesis around (-5 + 8x) -5 + 3y + -5 + 8x + (5x + -10) = 115 Reorder the terms: -5 + 3y + -5 + 8x + (-10 + 5x) = 115 Remove parenthesis around (-10 + 5x) -5 + 3y + -5 + 8x + -10 + 5x = 115 Reorder the terms: -5 + -5 + -10 + 8x + 5x + 3y = 115 Combine like terms: -5 + -5 = -10 -10 + -10 + 8x + 5x + 3y = 115 Combine like terms: -10 + -10 = -20 -20 + 8x + 5x + 3y = 115 Combine like terms: 8x + 5x = 13x -20 + 13x + 3y = 115 Solving -20 + 13x + 3y = 115 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 13x + 20 + 3y = 115 + 20 Reorder the terms: -20 + 20 + 13x + 3y = 115 + 20 Combine like terms: -20 + 20 = 0 0 + 13x + 3y = 115 + 20 13x + 3y = 115 + 20 Combine like terms: 115 + 20 = 135 13x + 3y = 135 Add '-3y' to each side of the equation. 13x + 3y + -3y = 135 + -3y Combine like terms: 3y + -3y = 0 13x + 0 = 135 + -3y 13x = 135 + -3y Divide each side by '13'. x = 10.38461538 + -0.2307692308y Simplifying x = 10.38461538 + -0.2307692308y
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