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Simplifying 0.05(4 + -1x) = 0.03(x + -8) + 0.04 (4 * 0.05 + -1x * 0.05) = 0.03(x + -8) + 0.04 (0.2 + -0.05x) = 0.03(x + -8) + 0.04 Reorder the terms: 0.2 + -0.05x = 0.03(-8 + x) + 0.04 0.2 + -0.05x = (-8 * 0.03 + x * 0.03) + 0.04 0.2 + -0.05x = (-0.24 + 0.03x) + 0.04 Reorder the terms: 0.2 + -0.05x = -0.24 + 0.04 + 0.03x Combine like terms: -0.24 + 0.04 = -0.2 0.2 + -0.05x = -0.2 + 0.03x Solving 0.2 + -0.05x = -0.2 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. 0.2 + -0.05x + -0.03x = -0.2 + 0.03x + -0.03x Combine like terms: -0.05x + -0.03x = -0.08x 0.2 + -0.08x = -0.2 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.2 + -0.08x = -0.2 + 0.00 0.2 + -0.08x = -0.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.08x = -0.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.08x = -0.2 + -0.2 -0.08x = -0.2 + -0.2 Combine like terms: -0.2 + -0.2 = -0.4 -0.08x = -0.4 Divide each side by '-0.08'. x = 5 Simplifying x = 5
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