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Simplifying -6(x + -29) + 17x + -84 = -14.5 Reorder the terms: -6(-29 + x) + 17x + -84 = -14.5 (-29 * -6 + x * -6) + 17x + -84 = -14.5 (174 + -6x) + 17x + -84 = -14.5 Reorder the terms: 174 + -84 + -6x + 17x = -14.5 Combine like terms: 174 + -84 = 90 90 + -6x + 17x = -14.5 Combine like terms: -6x + 17x = 11x 90 + 11x = -14.5 Solving 90 + 11x = -14.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 11x = -14.5 + -90 Combine like terms: 90 + -90 = 0 0 + 11x = -14.5 + -90 11x = -14.5 + -90 Combine like terms: -14.5 + -90 = -104.5 11x = -104.5 Divide each side by '11'. x = -9.5 Simplifying x = -9.5
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