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Simplifying -43 + -1x = 8x + 74 Reorder the terms: -43 + -1x = 74 + 8x Solving -43 + -1x = 74 + 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. -43 + -1x + -8x = 74 + 8x + -8x Combine like terms: -1x + -8x = -9x -43 + -9x = 74 + 8x + -8x Combine like terms: 8x + -8x = 0 -43 + -9x = 74 + 0 -43 + -9x = 74 Add '43' to each side of the equation. -43 + 43 + -9x = 74 + 43 Combine like terms: -43 + 43 = 0 0 + -9x = 74 + 43 -9x = 74 + 43 Combine like terms: 74 + 43 = 117 -9x = 117 Divide each side by '-9'. x = -13 Simplifying x = -13
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