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Simplifying 54 + -1(0.75x + 2.5) = 42.5 Reorder the terms: 54 + -1(2.5 + 0.75x) = 42.5 54 + (2.5 * -1 + 0.75x * -1) = 42.5 54 + (-2.5 + -0.75x) = 42.5 Combine like terms: 54 + -2.5 = 51.5 51.5 + -0.75x = 42.5 Solving 51.5 + -0.75x = 42.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51.5' to each side of the equation. 51.5 + -51.5 + -0.75x = 42.5 + -51.5 Combine like terms: 51.5 + -51.5 = 0.0 0.0 + -0.75x = 42.5 + -51.5 -0.75x = 42.5 + -51.5 Combine like terms: 42.5 + -51.5 = -9 -0.75x = -9 Divide each side by '-0.75'. x = 12 Simplifying x = 12
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