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Simplifying 0.055x + 5.077 = 0.040x + 5.071 Reorder the terms: 5.077 + 0.055x = 0.040x + 5.071 Reorder the terms: 5.077 + 0.055x = 5.071 + 0.040x Solving 5.077 + 0.055x = 5.071 + 0.040x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.040x' to each side of the equation. 5.077 + 0.055x + -0.040x = 5.071 + 0.040x + -0.040x Combine like terms: 0.055x + -0.040x = 0.015x 5.077 + 0.015x = 5.071 + 0.040x + -0.040x Combine like terms: 0.040x + -0.040x = 0.000 5.077 + 0.015x = 5.071 + 0.000 5.077 + 0.015x = 5.071 Add '-5.077' to each side of the equation. 5.077 + -5.077 + 0.015x = 5.071 + -5.077 Combine like terms: 5.077 + -5.077 = 0.000 0.000 + 0.015x = 5.071 + -5.077 0.015x = 5.071 + -5.077 Combine like terms: 5.071 + -5.077 = -0.006 0.015x = -0.006 Divide each side by '0.015'. x = -0.4 Simplifying x = -0.4
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