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Simplifying 2(4x + 7) + 2(5) = 75 Reorder the terms: 2(7 + 4x) + 2(5) = 75 (7 * 2 + 4x * 2) + 2(5) = 75 (14 + 8x) + 2(5) = 75 Multiply 2 * 5 14 + 8x + 10 = 75 Reorder the terms: 14 + 10 + 8x = 75 Combine like terms: 14 + 10 = 24 24 + 8x = 75 Solving 24 + 8x = 75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8x = 75 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 75 + -24 8x = 75 + -24 Combine like terms: 75 + -24 = 51 8x = 51 Divide each side by '8'. x = 6.375 Simplifying x = 6.375
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