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Simplifying 900 + 0.010x = 1200 + 0.15(x + -8000) Reorder the terms: 900 + 0.010x = 1200 + 0.15(-8000 + x) 900 + 0.010x = 1200 + (-8000 * 0.15 + x * 0.15) 900 + 0.010x = 1200 + (-1200 + 0.15x) Combine like terms: 1200 + -1200 = 0 900 + 0.010x = 0 + 0.15x 900 + 0.010x = 0.15x Solving 900 + 0.010x = 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 900 + 0.010x + -0.15x = 0.15x + -0.15x Combine like terms: 0.010x + -0.15x = -0.14x 900 + -0.14x = 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 900 + -0.14x = 0.00 Add '-900' to each side of the equation. 900 + -900 + -0.14x = 0.00 + -900 Combine like terms: 900 + -900 = 0 0 + -0.14x = 0.00 + -900 -0.14x = 0.00 + -900 Combine like terms: 0.00 + -900 = -900 -0.14x = -900 Divide each side by '-0.14'. x = 6428.571429 Simplifying x = 6428.571429
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