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Simplifying 17x + -1(8x + -2) = 74 Reorder the terms: 17x + -1(-2 + 8x) = 74 17x + (-2 * -1 + 8x * -1) = 74 17x + (2 + -8x) = 74 Reorder the terms: 2 + 17x + -8x = 74 Combine like terms: 17x + -8x = 9x 2 + 9x = 74 Solving 2 + 9x = 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 + 9x = 74 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 74 + -2 9x = 74 + -2 Combine like terms: 74 + -2 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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