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Simplifying 0.26(10000) + -0.03x = 0.07(x + 10000) Multiply 0.26 * 10000 2600 + -0.03x = 0.07(x + 10000) Reorder the terms: 2600 + -0.03x = 0.07(10000 + x) 2600 + -0.03x = (10000 * 0.07 + x * 0.07) 2600 + -0.03x = (700 + 0.07x) Solving 2600 + -0.03x = 700 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 2600 + -0.03x + -0.07x = 700 + 0.07x + -0.07x Combine like terms: -0.03x + -0.07x = -0.1x 2600 + -0.1x = 700 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 2600 + -0.1x = 700 + 0.00 2600 + -0.1x = 700 Add '-2600' to each side of the equation. 2600 + -2600 + -0.1x = 700 + -2600 Combine like terms: 2600 + -2600 = 0 0 + -0.1x = 700 + -2600 -0.1x = 700 + -2600 Combine like terms: 700 + -2600 = -1900 -0.1x = -1900 Divide each side by '-0.1'. x = 19000 Simplifying x = 19000
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