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Simplifying 0.09x = 1650 + -0.12(x + 5000) Reorder the terms: 0.09x = 1650 + -0.12(5000 + x) 0.09x = 1650 + (5000 * -0.12 + x * -0.12) 0.09x = 1650 + (-600 + -0.12x) Combine like terms: 1650 + -600 = 1050 0.09x = 1050 + -0.12x Solving 0.09x = 1050 + -0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.12x' to each side of the equation. 0.09x + 0.12x = 1050 + -0.12x + 0.12x Combine like terms: 0.09x + 0.12x = 0.21x 0.21x = 1050 + -0.12x + 0.12x Combine like terms: -0.12x + 0.12x = 0.00 0.21x = 1050 + 0.00 0.21x = 1050 Divide each side by '0.21'. x = 5000 Simplifying x = 5000
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