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Simplifying (100 + x) * 0.08 = x Reorder the terms for easier multiplication: 0.08(100 + x) = x (100 * 0.08 + x * 0.08) = x (8 + 0.08x) = x Solving 8 + 0.08x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 0.08x + -1x = x + -1x Combine like terms: 0.08x + -1x = -0.92x 8 + -0.92x = x + -1x Combine like terms: x + -1x = 0 8 + -0.92x = 0 Add '-8' to each side of the equation. 8 + -8 + -0.92x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -0.92x = 0 + -8 -0.92x = 0 + -8 Combine like terms: 0 + -8 = -8 -0.92x = -8 Divide each side by '-0.92'. x = 8.695652174 Simplifying x = 8.695652174
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