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Simplifying 17x + -1(5x + -2) = 74 Reorder the terms: 17x + -1(-2 + 5x) = 74 17x + (-2 * -1 + 5x * -1) = 74 17x + (2 + -5x) = 74 Reorder the terms: 2 + 17x + -5x = 74 Combine like terms: 17x + -5x = 12x 2 + 12x = 74 Solving 2 + 12x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12x = 74 + -2 Combine like terms: 2 + -2 = 0 0 + 12x = 74 + -2 12x = 74 + -2 Combine like terms: 74 + -2 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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