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Simplifying (x + -8) * 6000 = 0.12(5000) + 5000x Reorder the terms: (-8 + x) * 6000 = 0.12(5000) + 5000x Reorder the terms for easier multiplication: 6000(-8 + x) = 0.12(5000) + 5000x (-8 * 6000 + x * 6000) = 0.12(5000) + 5000x (-48000 + 6000x) = 0.12(5000) + 5000x Multiply 0.12 * 5000 -48000 + 6000x = 600 + 5000x Solving -48000 + 6000x = 600 + 5000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5000x' to each side of the equation. -48000 + 6000x + -5000x = 600 + 5000x + -5000x Combine like terms: 6000x + -5000x = 1000x -48000 + 1000x = 600 + 5000x + -5000x Combine like terms: 5000x + -5000x = 0 -48000 + 1000x = 600 + 0 -48000 + 1000x = 600 Add '48000' to each side of the equation. -48000 + 48000 + 1000x = 600 + 48000 Combine like terms: -48000 + 48000 = 0 0 + 1000x = 600 + 48000 1000x = 600 + 48000 Combine like terms: 600 + 48000 = 48600 1000x = 48600 Divide each side by '1000'. x = 48.6 Simplifying x = 48.6
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