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Simplifying 5(x + 5y) + -1(2x + -1(3x + -3(x + -2y) + y)) = 0 (x * 5 + 5y * 5) + -1(2x + -1(3x + -3(x + -2y) + y)) = 0 (5x + 25y) + -1(2x + -1(3x + -3(x + -2y) + y)) = 0 5x + 25y + -1(2x + -1(3x + (x * -3 + -2y * -3) + y)) = 0 5x + 25y + -1(2x + -1(3x + (-3x + 6y) + y)) = 0 Combine like terms: 3x + -3x = 0 5x + 25y + -1(2x + -1(0 + 6y + y)) = 0 5x + 25y + -1(2x + -1(6y + y)) = 0 Combine like terms: 6y + y = 7y 5x + 25y + -1(2x + -1(7y)) = 0 Remove parenthesis around (7y) 5x + 25y + -1(2x + -1 * 7y) = 0 Multiply -1 * 7 5x + 25y + -1(2x + -7y) = 0 5x + 25y + (2x * -1 + -7y * -1) = 0 5x + 25y + (-2x + 7y) = 0 Reorder the terms: 5x + -2x + 25y + 7y = 0 Combine like terms: 5x + -2x = 3x 3x + 25y + 7y = 0 Combine like terms: 25y + 7y = 32y 3x + 32y = 0 Solving 3x + 32y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32y' to each side of the equation. 3x + 32y + -32y = 0 + -32y Combine like terms: 32y + -32y = 0 3x + 0 = 0 + -32y 3x = 0 + -32y Remove the zero: 3x = -32y Divide each side by '3'. x = -10.66666667y Simplifying x = -10.66666667y
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