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Simplifying 2(x + 4) = 4(5y + 6) Reorder the terms: 2(4 + x) = 4(5y + 6) (4 * 2 + x * 2) = 4(5y + 6) (8 + 2x) = 4(5y + 6) Reorder the terms: 8 + 2x = 4(6 + 5y) 8 + 2x = (6 * 4 + 5y * 4) 8 + 2x = (24 + 20y) Solving 8 + 2x = 24 + 20y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = 24 + -8 + 20y Combine like terms: 8 + -8 = 0 0 + 2x = 24 + -8 + 20y 2x = 24 + -8 + 20y Combine like terms: 24 + -8 = 16 2x = 16 + 20y Divide each side by '2'. x = 8 + 10y Simplifying x = 8 + 10y
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