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Simplifying (5x + -6(500 + -1x)) = 8x (5x + (500 * -6 + -1x * -6)) = 8x (5x + (-3000 + 6x)) = 8x Reorder the terms: (-3000 + 5x + 6x) = 8x Combine like terms: 5x + 6x = 11x (-3000 + 11x) = 8x Remove parenthesis around (-3000 + 11x) -3000 + 11x = 8x Solving -3000 + 11x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3000 + 11x + -8x = 8x + -8x Combine like terms: 11x + -8x = 3x -3000 + 3x = 8x + -8x Combine like terms: 8x + -8x = 0 -3000 + 3x = 0 Add '3000' to each side of the equation. -3000 + 3000 + 3x = 0 + 3000 Combine like terms: -3000 + 3000 = 0 0 + 3x = 0 + 3000 3x = 0 + 3000 Combine like terms: 0 + 3000 = 3000 3x = 3000 Divide each side by '3'. x = 1000 Simplifying x = 1000
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