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Simplifying x + (x + 6) + (y + 5x) = 41 Reorder the terms: x + (6 + x) + (y + 5x) = 41 Remove parenthesis around (6 + x) x + 6 + x + (y + 5x) = 41 Reorder the terms: x + 6 + x + (5x + y) = 41 Remove parenthesis around (5x + y) x + 6 + x + 5x + y = 41 Reorder the terms: 6 + x + x + 5x + y = 41 Combine like terms: x + x = 2x 6 + 2x + 5x + y = 41 Combine like terms: 2x + 5x = 7x 6 + 7x + y = 41 Solving 6 + 7x + y = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 7x + -6 + y = 41 + -6 Reorder the terms: 6 + -6 + 7x + y = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 7x + y = 41 + -6 7x + y = 41 + -6 Combine like terms: 41 + -6 = 35 7x + y = 35 Add '-1y' to each side of the equation. 7x + y + -1y = 35 + -1y Combine like terms: y + -1y = 0 7x + 0 = 35 + -1y 7x = 35 + -1y Divide each side by '7'. x = 5 + -0.1428571429y Simplifying x = 5 + -0.1428571429y
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