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Simplifying 5x + 3y + -3(3x + -5y) = 0 5x + 3y + (3x * -3 + -5y * -3) = 0 5x + 3y + (-9x + 15y) = 0 Reorder the terms: 5x + -9x + 3y + 15y = 0 Combine like terms: 5x + -9x = -4x -4x + 3y + 15y = 0 Combine like terms: 3y + 15y = 18y -4x + 18y = 0 Solving -4x + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18y' to each side of the equation. -4x + 18y + -18y = 0 + -18y Combine like terms: 18y + -18y = 0 -4x + 0 = 0 + -18y -4x = 0 + -18y Remove the zero: -4x = -18y Divide each side by '-4'. x = 4.5y Simplifying x = 4.5y
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