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Simplifying x = 0.06(75 + x) x = (75 * 0.06 + x * 0.06) x = (4.5 + 0.06x) Solving x = 4.5 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. x + -0.06x = 4.5 + 0.06x + -0.06x Combine like terms: x + -0.06x = 0.94x 0.94x = 4.5 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.94x = 4.5 + 0.00 0.94x = 4.5 Divide each side by '0.94'. x = 4.787234043 Simplifying x = 4.787234043
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