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Simplifying 4(6 + x) = 2(-2y + 1) (6 * 4 + x * 4) = 2(-2y + 1) (24 + 4x) = 2(-2y + 1) Reorder the terms: 24 + 4x = 2(1 + -2y) 24 + 4x = (1 * 2 + -2y * 2) 24 + 4x = (2 + -4y) Solving 24 + 4x = 2 + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4x = 2 + -24 + -4y Combine like terms: 24 + -24 = 0 0 + 4x = 2 + -24 + -4y 4x = 2 + -24 + -4y Combine like terms: 2 + -24 = -22 4x = -22 + -4y Divide each side by '4'. x = -5.5 + -1y Simplifying x = -5.5 + -1y
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