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Simplifying 0.275(6000) + 0.7x = 0.05(6000 + x) Multiply 0.275 * 6000 1650 + 0.7x = 0.05(6000 + x) 1650 + 0.7x = (6000 * 0.05 + x * 0.05) 1650 + 0.7x = (300 + 0.05x) Solving 1650 + 0.7x = 300 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 1650 + 0.7x + -0.05x = 300 + 0.05x + -0.05x Combine like terms: 0.7x + -0.05x = 0.65x 1650 + 0.65x = 300 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 1650 + 0.65x = 300 + 0.00 1650 + 0.65x = 300 Add '-1650' to each side of the equation. 1650 + -1650 + 0.65x = 300 + -1650 Combine like terms: 1650 + -1650 = 0 0 + 0.65x = 300 + -1650 0.65x = 300 + -1650 Combine like terms: 300 + -1650 = -1350 0.65x = -1350 Divide each side by '0.65'. x = -2076.923077 Simplifying x = -2076.923077
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