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Simplifying 0.045x + 5.851 = 0.03x + 5.845 Reorder the terms: 5.851 + 0.045x = 0.03x + 5.845 Reorder the terms: 5.851 + 0.045x = 5.845 + 0.03x Solving 5.851 + 0.045x = 5.845 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 5.851 + 0.045x + -0.03x = 5.845 + 0.03x + -0.03x Combine like terms: 0.045x + -0.03x = 0.015x 5.851 + 0.015x = 5.845 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 5.851 + 0.015x = 5.845 + 0.00 5.851 + 0.015x = 5.845 Add '-5.851' to each side of the equation. 5.851 + -5.851 + 0.015x = 5.845 + -5.851 Combine like terms: 5.851 + -5.851 = 0.000 0.000 + 0.015x = 5.845 + -5.851 0.015x = 5.845 + -5.851 Combine like terms: 5.845 + -5.851 = -0.006 0.015x = -0.006 Divide each side by '0.015'. x = -0.4 Simplifying x = -0.4
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