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Simplifying 4(x + 4) + 6(x + 5) = 66 Reorder the terms: 4(4 + x) + 6(x + 5) = 66 (4 * 4 + x * 4) + 6(x + 5) = 66 (16 + 4x) + 6(x + 5) = 66 Reorder the terms: 16 + 4x + 6(5 + x) = 66 16 + 4x + (5 * 6 + x * 6) = 66 16 + 4x + (30 + 6x) = 66 Reorder the terms: 16 + 30 + 4x + 6x = 66 Combine like terms: 16 + 30 = 46 46 + 4x + 6x = 66 Combine like terms: 4x + 6x = 10x 46 + 10x = 66 Solving 46 + 10x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 10x = 66 + -46 Combine like terms: 46 + -46 = 0 0 + 10x = 66 + -46 10x = 66 + -46 Combine like terms: 66 + -46 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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