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Simplifying 0.02(10000) + 0.06x = 0.052(10000 + x) Multiply 0.02 * 10000 200 + 0.06x = 0.052(10000 + x) 200 + 0.06x = (10000 * 0.052 + x * 0.052) 200 + 0.06x = (520 + 0.052x) Solving 200 + 0.06x = 520 + 0.052x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.052x' to each side of the equation. 200 + 0.06x + -0.052x = 520 + 0.052x + -0.052x Combine like terms: 0.06x + -0.052x = 0.008x 200 + 0.008x = 520 + 0.052x + -0.052x Combine like terms: 0.052x + -0.052x = 0.000 200 + 0.008x = 520 + 0.000 200 + 0.008x = 520 Add '-200' to each side of the equation. 200 + -200 + 0.008x = 520 + -200 Combine like terms: 200 + -200 = 0 0 + 0.008x = 520 + -200 0.008x = 520 + -200 Combine like terms: 520 + -200 = 320 0.008x = 320 Divide each side by '0.008'. x = 40000 Simplifying x = 40000
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