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Simplifying 4.92x + 100 = 24.2064 + 10x Reorder the terms: 100 + 4.92x = 24.2064 + 10x Solving 100 + 4.92x = 24.2064 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 4.92x + -10x = 24.2064 + 10x + -10x Combine like terms: 4.92x + -10x = -5.08x 100 + -5.08x = 24.2064 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -5.08x = 24.2064 + 0 100 + -5.08x = 24.2064 Add '-100' to each side of the equation. 100 + -100 + -5.08x = 24.2064 + -100 Combine like terms: 100 + -100 = 0 0 + -5.08x = 24.2064 + -100 -5.08x = 24.2064 + -100 Combine like terms: 24.2064 + -100 = -75.7936 -5.08x = -75.7936 Divide each side by '-5.08'. x = 14.92 Simplifying x = 14.92
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