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Simplifying (10x + y) + -1(10y + x) = 27 Remove parenthesis around (10x + y) 10x + y + -1(10y + x) = 27 Reorder the terms: 10x + y + -1(x + 10y) = 27 10x + y + (x * -1 + 10y * -1) = 27 10x + y + (-1x + -10y) = 27 Reorder the terms: 10x + -1x + y + -10y = 27 Combine like terms: 10x + -1x = 9x 9x + y + -10y = 27 Combine like terms: y + -10y = -9y 9x + -9y = 27 Solving 9x + -9y = 27 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 = 27 + 9y Combine like terms: -9y + 9y = 0 9x + 0 = 27 + 9y 9x = 27 + 9y Divide each side by '9'. x = 3 + y Simplifying x = 3 + y
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