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Simplifying 3x + 5(0.5x + -24) = -76 Reorder the terms: 3x + 5(-24 + 0.5x) = -76 3x + (-24 * 5 + 0.5x * 5) = -76 3x + (-120 + 2.5x) = -76 Reorder the terms: -120 + 3x + 2.5x = -76 Combine like terms: 3x + 2.5x = 5.5x -120 + 5.5x = -76 Solving -120 + 5.5x = -76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 5.5x = -76 + 120 Combine like terms: -120 + 120 = 0 0 + 5.5x = -76 + 120 5.5x = -76 + 120 Combine like terms: -76 + 120 = 44 5.5x = 44 Divide each side by '5.5'. x = 8 Simplifying x = 8
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