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Simplifying 5x + 2(2x + -17) = 74 Reorder the terms: 5x + 2(-17 + 2x) = 74 5x + (-17 * 2 + 2x * 2) = 74 5x + (-34 + 4x) = 74 Reorder the terms: -34 + 5x + 4x = 74 Combine like terms: 5x + 4x = 9x -34 + 9x = 74 Solving -34 + 9x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 9x = 74 + 34 Combine like terms: -34 + 34 = 0 0 + 9x = 74 + 34 9x = 74 + 34 Combine like terms: 74 + 34 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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