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Simplifying 5x + -2x + 3y + -5y + x = 0 Reorder the terms: 5x + -2x + x + 3y + -5y = 0 Combine like terms: 5x + -2x = 3x 3x + x + 3y + -5y = 0 Combine like terms: 3x + x = 4x 4x + 3y + -5y = 0 Combine like terms: 3y + -5y = -2y 4x + -2y = 0 Solving 4x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 4x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 4x + 0 = 0 + 2y 4x = 0 + 2y Remove the zero: 4x = 2y Divide each side by '4'. x = 0.5y Simplifying x = 0.5y
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