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Simplifying (x + -8) * 6000 = 0.12(5000) * x + 5000x Reorder the terms: (-8 + x) * 6000 = 0.12(5000) * x + 5000x Reorder the terms for easier multiplication: 6000(-8 + x) = 0.12(5000) * x + 5000x (-8 * 6000 + x * 6000) = 0.12(5000) * x + 5000x (-48000 + 6000x) = 0.12(5000) * x + 5000x Multiply 0.12 * 5000 -48000 + 6000x = 600x + 5000x Combine like terms: 600x + 5000x = 5600x -48000 + 6000x = 5600x Solving -48000 + 6000x = 5600x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5600x' to each side of the equation. -48000 + 6000x + -5600x = 5600x + -5600x Combine like terms: 6000x + -5600x = 400x -48000 + 400x = 5600x + -5600x Combine like terms: 5600x + -5600x = 0 -48000 + 400x = 0 Add '48000' to each side of the equation. -48000 + 48000 + 400x = 0 + 48000 Combine like terms: -48000 + 48000 = 0 0 + 400x = 0 + 48000 400x = 0 + 48000 Combine like terms: 0 + 48000 = 48000 400x = 48000 Divide each side by '400'. x = 120 Simplifying x = 120
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