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Simplifying 5y + x + 32 = 5x + y Reorder the terms: 32 + x + 5y = 5x + y Solving 32 + x + 5y = 5x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 32 + x + -5x + 5y = 5x + -5x + y Combine like terms: x + -5x = -4x 32 + -4x + 5y = 5x + -5x + y Combine like terms: 5x + -5x = 0 32 + -4x + 5y = 0 + y 32 + -4x + 5y = y Add '-32' to each side of the equation. 32 + -4x + -32 + 5y = -32 + y Reorder the terms: 32 + -32 + -4x + 5y = -32 + y Combine like terms: 32 + -32 = 0 0 + -4x + 5y = -32 + y -4x + 5y = -32 + y Add '-5y' to each side of the equation. -4x + 5y + -5y = -32 + y + -5y Combine like terms: 5y + -5y = 0 -4x + 0 = -32 + y + -5y -4x = -32 + y + -5y Combine like terms: y + -5y = -4y -4x = -32 + -4y Divide each side by '-4'. x = 8 + y Simplifying x = 8 + y
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