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Simplifying 0.27(10000) + -0.02x = 0.08(x + 10000) Multiply 0.27 * 10000 2700 + -0.02x = 0.08(x + 10000) Reorder the terms: 2700 + -0.02x = 0.08(10000 + x) 2700 + -0.02x = (10000 * 0.08 + x * 0.08) 2700 + -0.02x = (800 + 0.08x) Solving 2700 + -0.02x = 800 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 2700 + -0.02x + -0.08x = 800 + 0.08x + -0.08x Combine like terms: -0.02x + -0.08x = -0.1x 2700 + -0.1x = 800 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 2700 + -0.1x = 800 + 0.00 2700 + -0.1x = 800 Add '-2700' to each side of the equation. 2700 + -2700 + -0.1x = 800 + -2700 Combine like terms: 2700 + -2700 = 0 0 + -0.1x = 800 + -2700 -0.1x = 800 + -2700 Combine like terms: 800 + -2700 = -1900 -0.1x = -1900 Divide each side by '-0.1'. x = 19000 Simplifying x = 19000
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