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Simplifying 8x + -43 = -1x + 101 Reorder the terms: -43 + 8x = -1x + 101 Reorder the terms: -43 + 8x = 101 + -1x Solving -43 + 8x = 101 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -43 + 8x + x = 101 + -1x + x Combine like terms: 8x + x = 9x -43 + 9x = 101 + -1x + x Combine like terms: -1x + x = 0 -43 + 9x = 101 + 0 -43 + 9x = 101 Add '43' to each side of the equation. -43 + 43 + 9x = 101 + 43 Combine like terms: -43 + 43 = 0 0 + 9x = 101 + 43 9x = 101 + 43 Combine like terms: 101 + 43 = 144 9x = 144 Divide each side by '9'. x = 16 Simplifying x = 16
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