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Simplifying 5(y + x) + -4(y + 3x) = 0 Reorder the terms: 5(x + y) + -4(y + 3x) = 0 (x * 5 + y * 5) + -4(y + 3x) = 0 (5x + 5y) + -4(y + 3x) = 0 Reorder the terms: 5x + 5y + -4(3x + y) = 0 5x + 5y + (3x * -4 + y * -4) = 0 5x + 5y + (-12x + -4y) = 0 Reorder the terms: 5x + -12x + 5y + -4y = 0 Combine like terms: 5x + -12x = -7x -7x + 5y + -4y = 0 Combine like terms: 5y + -4y = 1y -7x + 1y = 0 Solving -7x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -7x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 -7x + 0 = 0 + -1y -7x = 0 + -1y Remove the zero: -7x = -1y Divide each side by '-7'. x = 0.1428571429y Simplifying x = 0.1428571429y
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