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Simplifying 0.022x + 5.169 = 0.010x + 5.163 Reorder the terms: 5.169 + 0.022x = 0.010x + 5.163 Reorder the terms: 5.169 + 0.022x = 5.163 + 0.010x Solving 5.169 + 0.022x = 5.163 + 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. 5.169 + 0.022x + -0.010x = 5.163 + 0.010x + -0.010x Combine like terms: 0.022x + -0.010x = 0.012x 5.169 + 0.012x = 5.163 + 0.010x + -0.010x Combine like terms: 0.010x + -0.010x = 0.000 5.169 + 0.012x = 5.163 + 0.000 5.169 + 0.012x = 5.163 Add '-5.169' to each side of the equation. 5.169 + -5.169 + 0.012x = 5.163 + -5.169 Combine like terms: 5.169 + -5.169 = 0.000 0.000 + 0.012x = 5.163 + -5.169 0.012x = 5.163 + -5.169 Combine like terms: 5.163 + -5.169 = -0.006 0.012x = -0.006 Divide each side by '0.012'. x = -0.5 Simplifying x = -0.5
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