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Simplifying 0.06(x + -0.5) = 0.06 + 0.01 Reorder the terms: 0.06(-0.5 + x) = 0.06 + 0.01 (-0.5 * 0.06 + x * 0.06) = 0.06 + 0.01 (-0.03 + 0.06x) = 0.06 + 0.01 Combine like terms: 0.06 + 0.01 = 0.07 -0.03 + 0.06x = 0.07 Solving -0.03 + 0.06x = 0.07 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.03' to each side of the equation. -0.03 + 0.03 + 0.06x = 0.07 + 0.03 Combine like terms: -0.03 + 0.03 = 0.00 0.00 + 0.06x = 0.07 + 0.03 0.06x = 0.07 + 0.03 Combine like terms: 0.07 + 0.03 = 0.1 0.06x = 0.1 Divide each side by '0.06'. x = 1.666666667 Simplifying x = 1.666666667
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