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Simplifying 5y + x = 12 + -3x Reorder the terms: x + 5y = 12 + -3x Solving x + 5y = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. x + 3x + 5y = 12 + -3x + 3x Combine like terms: x + 3x = 4x 4x + 5y = 12 + -3x + 3x Combine like terms: -3x + 3x = 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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