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Simplifying 0.06(x + 20) + 0.08(x + -10) = 4.6 Reorder the terms: 0.06(20 + x) + 0.08(x + -10) = 4.6 (20 * 0.06 + x * 0.06) + 0.08(x + -10) = 4.6 (1.2 + 0.06x) + 0.08(x + -10) = 4.6 Reorder the terms: 1.2 + 0.06x + 0.08(-10 + x) = 4.6 1.2 + 0.06x + (-10 * 0.08 + x * 0.08) = 4.6 1.2 + 0.06x + (-0.8 + 0.08x) = 4.6 Reorder the terms: 1.2 + -0.8 + 0.06x + 0.08x = 4.6 Combine like terms: 1.2 + -0.8 = 0.4 0.4 + 0.06x + 0.08x = 4.6 Combine like terms: 0.06x + 0.08x = 0.14x 0.4 + 0.14x = 4.6 Solving 0.4 + 0.14x = 4.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.14x = 4.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.14x = 4.6 + -0.4 0.14x = 4.6 + -0.4 Combine like terms: 4.6 + -0.4 = 4.2 0.14x = 4.2 Divide each side by '0.14'. x = 30 Simplifying x = 30
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