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Simplifying 74 = 2(4x + 5) Reorder the terms: 74 = 2(5 + 4x) 74 = (5 * 2 + 4x * 2) 74 = (10 + 8x) Solving 74 = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 74 + -8x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 74 + -8x = 10 + 0 74 + -8x = 10 Add '-74' to each side of the equation. 74 + -74 + -8x = 10 + -74 Combine like terms: 74 + -74 = 0 0 + -8x = 10 + -74 -8x = 10 + -74 Combine like terms: 10 + -74 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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