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Simplifying 4(x + y) = 2x + 12 (x * 4 + y * 4) = 2x + 12 (4x + 4y) = 2x + 12 Reorder the terms: 4x + 4y = 12 + 2x Solving 4x + 4y = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4x + -2x + 4y = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x 2x + 4y = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 2x + 4y = 12 + 0 2x + 4y = 12 Add '-4y' to each side of the equation. 2x + 4y + -4y = 12 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = 12 + -4y 2x = 12 + -4y Divide each side by '2'. x = 6 + -2y Simplifying x = 6 + -2y
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