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Simplifying 117 = 0.75x + 27 Reorder the terms: 117 = 27 + 0.75x Solving 117 = 27 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 117 + -0.75x = 27 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 117 + -0.75x = 27 + 0.00 117 + -0.75x = 27 Add '-117' to each side of the equation. 117 + -117 + -0.75x = 27 + -117 Combine like terms: 117 + -117 = 0 0 + -0.75x = 27 + -117 -0.75x = 27 + -117 Combine like terms: 27 + -117 = -90 -0.75x = -90 Divide each side by '-0.75'. x = 120 Simplifying x = 120
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