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Simplifying 4(2x + 1) = 3(2y + -6) Reorder the terms: 4(1 + 2x) = 3(2y + -6) (1 * 4 + 2x * 4) = 3(2y + -6) (4 + 8x) = 3(2y + -6) Reorder the terms: 4 + 8x = 3(-6 + 2y) 4 + 8x = (-6 * 3 + 2y * 3) 4 + 8x = (-18 + 6y) Solving 4 + 8x = -18 + 6y 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 = -18 + -4 + 6y Combine like terms: 4 + -4 = 0 0 + 8x = -18 + -4 + 6y 8x = -18 + -4 + 6y Combine like terms: -18 + -4 = -22 8x = -22 + 6y Divide each side by '8'. x = -2.75 + 0.75y Simplifying x = -2.75 + 0.75y
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