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Simplifying 0.18(10000) + -0.04x = 0.06(x + 10000) Multiply 0.18 * 10000 1800 + -0.04x = 0.06(x + 10000) Reorder the terms: 1800 + -0.04x = 0.06(10000 + x) 1800 + -0.04x = (10000 * 0.06 + x * 0.06) 1800 + -0.04x = (600 + 0.06x) Solving 1800 + -0.04x = 600 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 1800 + -0.04x + -0.06x = 600 + 0.06x + -0.06x Combine like terms: -0.04x + -0.06x = -0.1x 1800 + -0.1x = 600 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1800 + -0.1x = 600 + 0.00 1800 + -0.1x = 600 Add '-1800' to each side of the equation. 1800 + -1800 + -0.1x = 600 + -1800 Combine like terms: 1800 + -1800 = 0 0 + -0.1x = 600 + -1800 -0.1x = 600 + -1800 Combine like terms: 600 + -1800 = -1200 -0.1x = -1200 Divide each side by '-0.1'. x = 12000 Simplifying x = 12000
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