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Simplifying 4(2a + 4) = 10(x + 5) Reorder the terms: 4(4 + 2a) = 10(x + 5) (4 * 4 + 2a * 4) = 10(x + 5) (16 + 8a) = 10(x + 5) Reorder the terms: 16 + 8a = 10(5 + x) 16 + 8a = (5 * 10 + x * 10) 16 + 8a = (50 + 10x) Solving 16 + 8a = 50 + 10x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8a = 50 + -16 + 10x Combine like terms: 16 + -16 = 0 0 + 8a = 50 + -16 + 10x 8a = 50 + -16 + 10x Combine like terms: 50 + -16 = 34 8a = 34 + 10x Divide each side by '8'. a = 4.25 + 1.25x Simplifying a = 4.25 + 1.25x
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