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Simplifying 5x + 2y = x + y Solving 5x + 2y = x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5x + -1x + 2y = x + -1x + y Combine like terms: 5x + -1x = 4x 4x + 2y = x + -1x + y Combine like terms: x + -1x = 0 4x + 2y = 0 + y 4x + 2y = y Add '-2y' to each side of the equation. 4x + 2y + -2y = y + -2y Combine like terms: 2y + -2y = 0 4x + 0 = y + -2y 4x = y + -2y Combine like terms: y + -2y = -1y 4x = -1y Divide each side by '4'. x = -0.25y Simplifying x = -0.25y
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