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Simplifying 5x + -5y = 12 + x Solving 5x + -5y = 12 + x 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 + -5y = 12 + x + -1x Combine like terms: 5x + -1x = 4x 4x + -5y = 12 + x + -1x Combine like terms: x + -1x = 0 4x + -5y = 12 + 0 4x + -5y = 12 Add '5y' to each side of the equation. 4x + -5y + 5y = 12 + 5y Combine like terms: -5y + 5y = 0 4x + 0 = 12 + 5y 4x = 12 + 5y Divide each side by '4'. x = 3 + 1.25y Simplifying x = 3 + 1.25y
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