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Simplifying 4y + -1(3x + 2y) + (5y + x) = 0 4y + (3x * -1 + 2y * -1) + (5y + x) = 0 4y + (-3x + -2y) + (5y + x) = 0 Reorder the terms: 4y + -3x + -2y + (x + 5y) = 0 Remove parenthesis around (x + 5y) 4y + -3x + -2y + x + 5y = 0 Reorder the terms: -3x + x + 4y + -2y + 5y = 0 Combine like terms: -3x + x = -2x -2x + 4y + -2y + 5y = 0 Combine like terms: 4y + -2y = 2y -2x + 2y + 5y = 0 Combine like terms: 2y + 5y = 7y -2x + 7y = 0 Solving -2x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -2x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = 0 + -7y -2x = 0 + -7y Remove the zero: -2x = -7y Divide each side by '-2'. x = 3.5y Simplifying x = 3.5y
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