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Simplifying 0.06(10000) + 0.08x = 0.076(10000 + x) Multiply 0.06 * 10000 600 + 0.08x = 0.076(10000 + x) 600 + 0.08x = (10000 * 0.076 + x * 0.076) 600 + 0.08x = (760 + 0.076x) Solving 600 + 0.08x = 760 + 0.076x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.076x' to each side of the equation. 600 + 0.08x + -0.076x = 760 + 0.076x + -0.076x Combine like terms: 0.08x + -0.076x = 0.004x 600 + 0.004x = 760 + 0.076x + -0.076x Combine like terms: 0.076x + -0.076x = 0.000 600 + 0.004x = 760 + 0.000 600 + 0.004x = 760 Add '-600' to each side of the equation. 600 + -600 + 0.004x = 760 + -600 Combine like terms: 600 + -600 = 0 0 + 0.004x = 760 + -600 0.004x = 760 + -600 Combine like terms: 760 + -600 = 160 0.004x = 160 Divide each side by '0.004'. x = 40000 Simplifying x = 40000
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