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Simplifying 0.1(x + 4) + -0.04 = 0.01(5x + 4) Reorder the terms: 0.1(4 + x) + -0.04 = 0.01(5x + 4) (4 * 0.1 + x * 0.1) + -0.04 = 0.01(5x + 4) (0.4 + 0.1x) + -0.04 = 0.01(5x + 4) Reorder the terms: 0.4 + -0.04 + 0.1x = 0.01(5x + 4) Combine like terms: 0.4 + -0.04 = 0.36 0.36 + 0.1x = 0.01(5x + 4) Reorder the terms: 0.36 + 0.1x = 0.01(4 + 5x) 0.36 + 0.1x = (4 * 0.01 + 5x * 0.01) 0.36 + 0.1x = (0.04 + 0.05x) Solving 0.36 + 0.1x = 0.04 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 0.36 + 0.1x + -0.05x = 0.04 + 0.05x + -0.05x Combine like terms: 0.1x + -0.05x = 0.05x 0.36 + 0.05x = 0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.36 + 0.05x = 0.04 + 0.00 0.36 + 0.05x = 0.04 Add '-0.36' to each side of the equation. 0.36 + -0.36 + 0.05x = 0.04 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 0.05x = 0.04 + -0.36 0.05x = 0.04 + -0.36 Combine like terms: 0.04 + -0.36 = -0.32 0.05x = -0.32 Divide each side by '0.05'. x = -6.4 Simplifying x = -6.4
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