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Simplifying 4(x + 2y) + -4y = 12 (x * 4 + 2y * 4) + -4y = 12 (4x + 8y) + -4y = 12 Combine like terms: 8y + -4y = 4y 4x + 4y = 12 Solving 4x + 4y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 4x + 4y + -4y = 12 + -4y Combine like terms: 4y + -4y = 0 4x + 0 = 12 + -4y 4x = 12 + -4y Divide each side by '4'. x = 3 + -1y Simplifying x = 3 + -1y
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