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Simplifying 0.09(x) + 0.06(45700 + -1x) = 3000 0.09x + (45700 * 0.06 + -1x * 0.06) = 3000 0.09x + (2742 + -0.06x) = 3000 Reorder the terms: 2742 + 0.09x + -0.06x = 3000 Combine like terms: 0.09x + -0.06x = 0.03x 2742 + 0.03x = 3000 Solving 2742 + 0.03x = 3000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2742' to each side of the equation. 2742 + -2742 + 0.03x = 3000 + -2742 Combine like terms: 2742 + -2742 = 0 0 + 0.03x = 3000 + -2742 0.03x = 3000 + -2742 Combine like terms: 3000 + -2742 = 258 0.03x = 258 Divide each side by '0.03'. x = 8600 Simplifying x = 8600
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