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Simplifying 0.5x + 97.5 = 4x + 3 Reorder the terms: 97.5 + 0.5x = 4x + 3 Reorder the terms: 97.5 + 0.5x = 3 + 4x Solving 97.5 + 0.5x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 97.5 + 0.5x + -4x = 3 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 97.5 + -3.5x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 97.5 + -3.5x = 3 + 0 97.5 + -3.5x = 3 Add '-97.5' to each side of the equation. 97.5 + -97.5 + -3.5x = 3 + -97.5 Combine like terms: 97.5 + -97.5 = 0.0 0.0 + -3.5x = 3 + -97.5 -3.5x = 3 + -97.5 Combine like terms: 3 + -97.5 = -94.5 -3.5x = -94.5 Divide each side by '-3.5'. x = 27 Simplifying x = 27
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