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