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Simplifying 0.026x + 5.103 = 0.01x + 5.095 Reorder the terms: 5.103 + 0.026x = 0.01x + 5.095 Reorder the terms: 5.103 + 0.026x = 5.095 + 0.01x Solving 5.103 + 0.026x = 5.095 + 0.01x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01x' to each side of the equation. 5.103 + 0.026x + -0.01x = 5.095 + 0.01x + -0.01x Combine like terms: 0.026x + -0.01x = 0.016x 5.103 + 0.016x = 5.095 + 0.01x + -0.01x Combine like terms: 0.01x + -0.01x = 0.00 5.103 + 0.016x = 5.095 + 0.00 5.103 + 0.016x = 5.095 Add '-5.103' to each side of the equation. 5.103 + -5.103 + 0.016x = 5.095 + -5.103 Combine like terms: 5.103 + -5.103 = 0.000 0.000 + 0.016x = 5.095 + -5.103 0.016x = 5.095 + -5.103 Combine like terms: 5.095 + -5.103 = -0.008 0.016x = -0.008 Divide each side by '0.016'. x = -0.5 Simplifying x = -0.5
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