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Simplifying 0.055x + 5.767 = 0.04x + 5.761 Reorder the terms: 5.767 + 0.055x = 0.04x + 5.761 Reorder the terms: 5.767 + 0.055x = 5.761 + 0.04x Solving 5.767 + 0.055x = 5.761 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 5.767 + 0.055x + -0.04x = 5.761 + 0.04x + -0.04x Combine like terms: 0.055x + -0.04x = 0.015x 5.767 + 0.015x = 5.761 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 5.767 + 0.015x = 5.761 + 0.00 5.767 + 0.015x = 5.761 Add '-5.767' to each side of the equation. 5.767 + -5.767 + 0.015x = 5.761 + -5.767 Combine like terms: 5.767 + -5.767 = 0.000 0.000 + 0.015x = 5.761 + -5.767 0.015x = 5.761 + -5.767 Combine like terms: 5.761 + -5.767 = -0.006 0.015x = -0.006 Divide each side by '0.015'. x = -0.4 Simplifying x = -0.4
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