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Simplifying 5x + 3 + -1y = y + 3 + x Reorder the terms: 3 + 5x + -1y = y + 3 + x Reorder the terms: 3 + 5x + -1y = 3 + x + y Add '-3' to each side of the equation. 3 + 5x + -3 + -1y = 3 + x + -3 + y Reorder the terms: 3 + -3 + 5x + -1y = 3 + x + -3 + y Combine like terms: 3 + -3 = 0 0 + 5x + -1y = 3 + x + -3 + y 5x + -1y = 3 + x + -3 + y Reorder the terms: 5x + -1y = 3 + -3 + x + y Combine like terms: 3 + -3 = 0 5x + -1y = 0 + x + y 5x + -1y = x + y Solving 5x + -1y = 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 + -1y = x + -1x + y Combine like terms: 5x + -1x = 4x 4x + -1y = x + -1x + y Combine like terms: x + -1x = 0 4x + -1y = 0 + y 4x + -1y = y Add 'y' to each side of the equation. 4x + -1y + y = y + y Combine like terms: -1y + y = 0 4x + 0 = y + y 4x = y + y Combine like terms: y + y = 2y 4x = 2y Divide each side by '4'. x = 0.5y Simplifying x = 0.5y
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