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Simplifying 0.01(5x + 4) = 0.3 + -0.2x Reorder the terms: 0.01(4 + 5x) = 0.3 + -0.2x (4 * 0.01 + 5x * 0.01) = 0.3 + -0.2x (0.04 + 0.05x) = 0.3 + -0.2x Solving 0.04 + 0.05x = 0.3 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 0.04 + 0.05x + 0.2x = 0.3 + -0.2x + 0.2x Combine like terms: 0.05x + 0.2x = 0.25x 0.04 + 0.25x = 0.3 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 0.04 + 0.25x = 0.3 + 0.0 0.04 + 0.25x = 0.3 Add '-0.04' to each side of the equation. 0.04 + -0.04 + 0.25x = 0.3 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + 0.25x = 0.3 + -0.04 0.25x = 0.3 + -0.04 Combine like terms: 0.3 + -0.04 = 0.26 0.25x = 0.26 Divide each side by '0.25'. x = 1.04 Simplifying x = 1.04
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