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Simplifying 7x + -2(-1x + 17) = 38 Reorder the terms: 7x + -2(17 + -1x) = 38 7x + (17 * -2 + -1x * -2) = 38 7x + (-34 + 2x) = 38 Reorder the terms: -34 + 7x + 2x = 38 Combine like terms: 7x + 2x = 9x -34 + 9x = 38 Solving -34 + 9x = 38 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 = 38 + 34 Combine like terms: -34 + 34 = 0 0 + 9x = 38 + 34 9x = 38 + 34 Combine like terms: 38 + 34 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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