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Simplifying 4(x + -1y) + 12 = 20 (x * 4 + -1y * 4) + 12 = 20 (4x + -4y) + 12 = 20 Reorder the terms: 12 + 4x + -4y = 20 Solving 12 + 4x + -4y = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4x + -12 + -4y = 20 + -12 Reorder the terms: 12 + -12 + 4x + -4y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4x + -4y = 20 + -12 4x + -4y = 20 + -12 Combine like terms: 20 + -12 = 8 4x + -4y = 8 Add '4y' to each side of the equation. 4x + -4y + 4y = 8 + 4y Combine like terms: -4y + 4y = 0 4x + 0 = 8 + 4y 4x = 8 + 4y Divide each side by '4'. x = 2 + y Simplifying x = 2 + y
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