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Simplifying 0.06x + 0.08(x + 1) = 0.42 Reorder the terms: 0.06x + 0.08(1 + x) = 0.42 0.06x + (1 * 0.08 + x * 0.08) = 0.42 0.06x + (0.08 + 0.08x) = 0.42 Reorder the terms: 0.08 + 0.06x + 0.08x = 0.42 Combine like terms: 0.06x + 0.08x = 0.14x 0.08 + 0.14x = 0.42 Solving 0.08 + 0.14x = 0.42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08' to each side of the equation. 0.08 + -0.08 + 0.14x = 0.42 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + 0.14x = 0.42 + -0.08 0.14x = 0.42 + -0.08 Combine like terms: 0.42 + -0.08 = 0.34 0.14x = 0.34 Divide each side by '0.14'. x = 2.428571429 Simplifying x = 2.428571429
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