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Simplifying 6x + 17 = 8x + -75 Reorder the terms: 17 + 6x = 8x + -75 Reorder the terms: 17 + 6x = -75 + 8x Solving 17 + 6x = -75 + 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. 17 + 6x + -8x = -75 + 8x + -8x Combine like terms: 6x + -8x = -2x 17 + -2x = -75 + 8x + -8x Combine like terms: 8x + -8x = 0 17 + -2x = -75 + 0 17 + -2x = -75 Add '-17' to each side of the equation. 17 + -17 + -2x = -75 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = -75 + -17 -2x = -75 + -17 Combine like terms: -75 + -17 = -92 -2x = -92 Divide each side by '-2'. x = 46 Simplifying x = 46
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