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Simplifying 7x + -6(x + -17) = 120 Reorder the terms: 7x + -6(-17 + x) = 120 7x + (-17 * -6 + x * -6) = 120 7x + (102 + -6x) = 120 Reorder the terms: 102 + 7x + -6x = 120 Combine like terms: 7x + -6x = 1x 102 + 1x = 120 Solving 102 + 1x = 120 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 1x = 120 + -102 Combine like terms: 102 + -102 = 0 0 + 1x = 120 + -102 1x = 120 + -102 Combine like terms: 120 + -102 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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