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Simplifying 0.05(10000) + 0.08x = 0.068(10000 + x) Multiply 0.05 * 10000 500 + 0.08x = 0.068(10000 + x) 500 + 0.08x = (10000 * 0.068 + x * 0.068) 500 + 0.08x = (680 + 0.068x) Solving 500 + 0.08x = 680 + 0.068x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.068x' to each side of the equation. 500 + 0.08x + -0.068x = 680 + 0.068x + -0.068x Combine like terms: 0.08x + -0.068x = 0.012x 500 + 0.012x = 680 + 0.068x + -0.068x Combine like terms: 0.068x + -0.068x = 0.000 500 + 0.012x = 680 + 0.000 500 + 0.012x = 680 Add '-500' to each side of the equation. 500 + -500 + 0.012x = 680 + -500 Combine like terms: 500 + -500 = 0 0 + 0.012x = 680 + -500 0.012x = 680 + -500 Combine like terms: 680 + -500 = 180 0.012x = 180 Divide each side by '0.012'. x = 15000 Simplifying x = 15000
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