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Simplifying -1x + -172 = 52 + -9x Reorder the terms: -172 + -1x = 52 + -9x Solving -172 + -1x = 52 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -172 + -1x + 9x = 52 + -9x + 9x Combine like terms: -1x + 9x = 8x -172 + 8x = 52 + -9x + 9x Combine like terms: -9x + 9x = 0 -172 + 8x = 52 + 0 -172 + 8x = 52 Add '172' to each side of the equation. -172 + 172 + 8x = 52 + 172 Combine like terms: -172 + 172 = 0 0 + 8x = 52 + 172 8x = 52 + 172 Combine like terms: 52 + 172 = 224 8x = 224 Divide each side by '8'. x = 28 Simplifying x = 28
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