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Simplifying 10x + -1(7x + -2) = 17 Reorder the terms: 10x + -1(-2 + 7x) = 17 10x + (-2 * -1 + 7x * -1) = 17 10x + (2 + -7x) = 17 Reorder the terms: 2 + 10x + -7x = 17 Combine like terms: 10x + -7x = 3x 2 + 3x = 17 Solving 2 + 3x = 17 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 + 3x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 17 + -2 3x = 17 + -2 Combine like terms: 17 + -2 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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