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Simplifying 4(x + 1) = 6(y + 2) Reorder the terms: 4(1 + x) = 6(y + 2) (1 * 4 + x * 4) = 6(y + 2) (4 + 4x) = 6(y + 2) Reorder the terms: 4 + 4x = 6(2 + y) 4 + 4x = (2 * 6 + y * 6) 4 + 4x = (12 + 6y) Solving 4 + 4x = 12 + 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 + 4x = 12 + -4 + 6y Combine like terms: 4 + -4 = 0 0 + 4x = 12 + -4 + 6y 4x = 12 + -4 + 6y Combine like terms: 12 + -4 = 8 4x = 8 + 6y Divide each side by '4'. x = 2 + 1.5y Simplifying x = 2 + 1.5y
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