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Simplifying 0.01x + 5.8 = -0.005x + 10 Reorder the terms: 5.8 + 0.01x = -0.005x + 10 Reorder the terms: 5.8 + 0.01x = 10 + -0.005x Solving 5.8 + 0.01x = 10 + -0.005x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.005x' to each side of the equation. 5.8 + 0.01x + 0.005x = 10 + -0.005x + 0.005x Combine like terms: 0.01x + 0.005x = 0.015x 5.8 + 0.015x = 10 + -0.005x + 0.005x Combine like terms: -0.005x + 0.005x = 0.000 5.8 + 0.015x = 10 + 0.000 5.8 + 0.015x = 10 Add '-5.8' to each side of the equation. 5.8 + -5.8 + 0.015x = 10 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + 0.015x = 10 + -5.8 0.015x = 10 + -5.8 Combine like terms: 10 + -5.8 = 4.2 0.015x = 4.2 Divide each side by '0.015'. x = 280 Simplifying x = 280
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