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Simplifying 4(x + y) + 8 = 20 (x * 4 + y * 4) + 8 = 20 (4x + 4y) + 8 = 20 Reorder the terms: 8 + 4x + 4y = 20 Solving 8 + 4x + 4y = 20 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 = 20 + -8 Reorder the terms: 8 + -8 + 4x + 4y = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 4x + 4y = 20 + -8 4x + 4y = 20 + -8 Combine like terms: 20 + -8 = 12 4x + 4y = 12 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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