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Simplifying (10y + x) + -1(10x + y) = 75 Reorder the terms: (x + 10y) + -1(10x + y) = 75 Remove parenthesis around (x + 10y) x + 10y + -1(10x + y) = 75 x + 10y + (10x * -1 + y * -1) = 75 x + 10y + (-10x + -1y) = 75 Reorder the terms: x + -10x + 10y + -1y = 75 Combine like terms: x + -10x = -9x -9x + 10y + -1y = 75 Combine like terms: 10y + -1y = 9y -9x + 9y = 75 Solving -9x + 9y = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -9x + 9y + -9y = 75 + -9y Combine like terms: 9y + -9y = 0 -9x + 0 = 75 + -9y -9x = 75 + -9y Divide each side by '-9'. x = -8.333333333 + y Simplifying x = -8.333333333 + y
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