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Simplifying 1290 = (0.02(x + -3000)) + (0.07x) Reorder the terms: 1290 = (0.02(-3000 + x)) + (0.07x) 1290 = ((-3000 * 0.02 + x * 0.02)) + (0.07x) 1290 = ((-60 + 0.02x)) + (0.07x) 1290 = (-60 + 0.02x) + (0.07x) Remove parenthesis around (-60 + 0.02x) 1290 = -60 + 0.02x + (0.07x) Combine like terms: 0.02x + (0.07x) = 0.09x 1290 = -60 + 0.09x Solving 1290 = -60 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 1290 + -0.09x = -60 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 1290 + -0.09x = -60 + 0.00 1290 + -0.09x = -60 Add '-1290' to each side of the equation. 1290 + -1290 + -0.09x = -60 + -1290 Combine like terms: 1290 + -1290 = 0 0 + -0.09x = -60 + -1290 -0.09x = -60 + -1290 Combine like terms: -60 + -1290 = -1350 -0.09x = -1350 Divide each side by '-0.09'. x = 15000 Simplifying x = 15000
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