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Simplifying 5.2x + 0.008 = 3x + 0.118 Reorder the terms: 0.008 + 5.2x = 3x + 0.118 Reorder the terms: 0.008 + 5.2x = 0.118 + 3x Solving 0.008 + 5.2x = 0.118 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.008 + 5.2x + -3x = 0.118 + 3x + -3x Combine like terms: 5.2x + -3x = 2.2x 0.008 + 2.2x = 0.118 + 3x + -3x Combine like terms: 3x + -3x = 0 0.008 + 2.2x = 0.118 + 0 0.008 + 2.2x = 0.118 Add '-0.008' to each side of the equation. 0.008 + -0.008 + 2.2x = 0.118 + -0.008 Combine like terms: 0.008 + -0.008 = 0.000 0.000 + 2.2x = 0.118 + -0.008 2.2x = 0.118 + -0.008 Combine like terms: 0.118 + -0.008 = 0.11 2.2x = 0.11 Divide each side by '2.2'. x = 0.05 Simplifying x = 0.05
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