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Simplifying 17 + -1(5 + -1x) + 2(5 + -1x) = 12 17 + (5 * -1 + -1x * -1) + 2(5 + -1x) = 12 17 + (-5 + 1x) + 2(5 + -1x) = 12 17 + -5 + 1x + (5 * 2 + -1x * 2) = 12 17 + -5 + 1x + (10 + -2x) = 12 Reorder the terms: 17 + -5 + 10 + 1x + -2x = 12 Combine like terms: 17 + -5 = 12 12 + 10 + 1x + -2x = 12 Combine like terms: 12 + 10 = 22 22 + 1x + -2x = 12 Combine like terms: 1x + -2x = -1x 22 + -1x = 12 Solving 22 + -1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 12 + -22 -1x = 12 + -22 Combine like terms: 12 + -22 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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