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Simplifying -0.75x + 18 = 6x + 84 Reorder the terms: 18 + -0.75x = 6x + 84 Reorder the terms: 18 + -0.75x = 84 + 6x Solving 18 + -0.75x = 84 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + -0.75x + -6x = 84 + 6x + -6x Combine like terms: -0.75x + -6x = -6.75x 18 + -6.75x = 84 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -6.75x = 84 + 0 18 + -6.75x = 84 Add '-18' to each side of the equation. 18 + -18 + -6.75x = 84 + -18 Combine like terms: 18 + -18 = 0 0 + -6.75x = 84 + -18 -6.75x = 84 + -18 Combine like terms: 84 + -18 = 66 -6.75x = 66 Divide each side by '-6.75'. x = -9.777777778 Simplifying x = -9.777777778
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