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Simplifying 4(2x + 2) + 2(x + 4) = 41 Reorder the terms: 4(2 + 2x) + 2(x + 4) = 41 (2 * 4 + 2x * 4) + 2(x + 4) = 41 (8 + 8x) + 2(x + 4) = 41 Reorder the terms: 8 + 8x + 2(4 + x) = 41 8 + 8x + (4 * 2 + x * 2) = 41 8 + 8x + (8 + 2x) = 41 Reorder the terms: 8 + 8 + 8x + 2x = 41 Combine like terms: 8 + 8 = 16 16 + 8x + 2x = 41 Combine like terms: 8x + 2x = 10x 16 + 10x = 41 Solving 16 + 10x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 10x = 41 + -16 Combine like terms: 16 + -16 = 0 0 + 10x = 41 + -16 10x = 41 + -16 Combine like terms: 41 + -16 = 25 10x = 25 Divide each side by '10'. x = 2.5 Simplifying x = 2.5
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