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Simplifying 4x + 2.5(75 + -1x) = 232.5 4x + (75 * 2.5 + -1x * 2.5) = 232.5 4x + (187.5 + -2.5x) = 232.5 Reorder the terms: 187.5 + 4x + -2.5x = 232.5 Combine like terms: 4x + -2.5x = 1.5x 187.5 + 1.5x = 232.5 Solving 187.5 + 1.5x = 232.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-187.5' to each side of the equation. 187.5 + -187.5 + 1.5x = 232.5 + -187.5 Combine like terms: 187.5 + -187.5 = 0.0 0.0 + 1.5x = 232.5 + -187.5 1.5x = 232.5 + -187.5 Combine like terms: 232.5 + -187.5 = 45 1.5x = 45 Divide each side by '1.5'. x = 30 Simplifying x = 30
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