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Simplifying 0.026x + 5.413 = 0.010x + 5.405 Reorder the terms: 5.413 + 0.026x = 0.010x + 5.405 Reorder the terms: 5.413 + 0.026x = 5.405 + 0.010x Solving 5.413 + 0.026x = 5.405 + 0.010x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.010x' to each side of the equation. 5.413 + 0.026x + -0.010x = 5.405 + 0.010x + -0.010x Combine like terms: 0.026x + -0.010x = 0.016x 5.413 + 0.016x = 5.405 + 0.010x + -0.010x Combine like terms: 0.010x + -0.010x = 0.000 5.413 + 0.016x = 5.405 + 0.000 5.413 + 0.016x = 5.405 Add '-5.413' to each side of the equation. 5.413 + -5.413 + 0.016x = 5.405 + -5.413 Combine like terms: 5.413 + -5.413 = 0.000 0.000 + 0.016x = 5.405 + -5.413 0.016x = 5.405 + -5.413 Combine like terms: 5.405 + -5.413 = -0.008 0.016x = -0.008 Divide each side by '0.016'. x = -0.5 Simplifying x = -0.5
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