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Simplifying 57(2x + 8000) = 40(3x + 8000) Reorder the terms: 57(8000 + 2x) = 40(3x + 8000) (8000 * 57 + 2x * 57) = 40(3x + 8000) (456000 + 114x) = 40(3x + 8000) Reorder the terms: 456000 + 114x = 40(8000 + 3x) 456000 + 114x = (8000 * 40 + 3x * 40) 456000 + 114x = (320000 + 120x) Solving 456000 + 114x = 320000 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 456000 + 114x + -120x = 320000 + 120x + -120x Combine like terms: 114x + -120x = -6x 456000 + -6x = 320000 + 120x + -120x Combine like terms: 120x + -120x = 0 456000 + -6x = 320000 + 0 456000 + -6x = 320000 Add '-456000' to each side of the equation. 456000 + -456000 + -6x = 320000 + -456000 Combine like terms: 456000 + -456000 = 0 0 + -6x = 320000 + -456000 -6x = 320000 + -456000 Combine like terms: 320000 + -456000 = -136000 -6x = -136000 Divide each side by '-6'. x = 22666.66667 Simplifying x = 22666.66667
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