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Simplifying 4(2x + 1) = 2(12 + -1y) Reorder the terms: 4(1 + 2x) = 2(12 + -1y) (1 * 4 + 2x * 4) = 2(12 + -1y) (4 + 8x) = 2(12 + -1y) 4 + 8x = (12 * 2 + -1y * 2) 4 + 8x = (24 + -2y) Solving 4 + 8x = 24 + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8x = 24 + -4 + -2y Combine like terms: 4 + -4 = 0 0 + 8x = 24 + -4 + -2y 8x = 24 + -4 + -2y Combine like terms: 24 + -4 = 20 8x = 20 + -2y Divide each side by '8'. x = 2.5 + -0.25y Simplifying x = 2.5 + -0.25y
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