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Simplifying 0.03x + 0.4 = 0.1x + 0.05 Reorder the terms: 0.4 + 0.03x = 0.1x + 0.05 Reorder the terms: 0.4 + 0.03x = 0.05 + 0.1x Solving 0.4 + 0.03x = 0.05 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 0.4 + 0.03x + -0.1x = 0.05 + 0.1x + -0.1x Combine like terms: 0.03x + -0.1x = -0.07x 0.4 + -0.07x = 0.05 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.4 + -0.07x = 0.05 + 0.0 0.4 + -0.07x = 0.05 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.07x = 0.05 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.07x = 0.05 + -0.4 -0.07x = 0.05 + -0.4 Combine like terms: 0.05 + -0.4 = -0.35 -0.07x = -0.35 Divide each side by '-0.07'. x = 5 Simplifying x = 5
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