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Simplifying (y + 5) + (x + 5) + (6x + 2y) = 26 Reorder the terms: (5 + y) + (x + 5) + (6x + 2y) = 26 Remove parenthesis around (5 + y) 5 + y + (x + 5) + (6x + 2y) = 26 Reorder the terms: 5 + y + (5 + x) + (6x + 2y) = 26 Remove parenthesis around (5 + x) 5 + y + 5 + x + (6x + 2y) = 26 Remove parenthesis around (6x + 2y) 5 + y + 5 + x + 6x + 2y = 26 Reorder the terms: 5 + 5 + x + 6x + y + 2y = 26 Combine like terms: 5 + 5 = 10 10 + x + 6x + y + 2y = 26 Combine like terms: x + 6x = 7x 10 + 7x + y + 2y = 26 Combine like terms: y + 2y = 3y 10 + 7x + 3y = 26 Solving 10 + 7x + 3y = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 7x + -10 + 3y = 26 + -10 Reorder the terms: 10 + -10 + 7x + 3y = 26 + -10 Combine like terms: 10 + -10 = 0 0 + 7x + 3y = 26 + -10 7x + 3y = 26 + -10 Combine like terms: 26 + -10 = 16 7x + 3y = 16 Add '-3y' to each side of the equation. 7x + 3y + -3y = 16 + -3y Combine like terms: 3y + -3y = 0 7x + 0 = 16 + -3y 7x = 16 + -3y Divide each side by '7'. x = 2.285714286 + -0.4285714286y Simplifying x = 2.285714286 + -0.4285714286y
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