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Simplifying -8x + -178 = x + 83 Reorder the terms: -178 + -8x = x + 83 Reorder the terms: -178 + -8x = 83 + x Solving -178 + -8x = 83 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -178 + -8x + -1x = 83 + x + -1x Combine like terms: -8x + -1x = -9x -178 + -9x = 83 + x + -1x Combine like terms: x + -1x = 0 -178 + -9x = 83 + 0 -178 + -9x = 83 Add '178' to each side of the equation. -178 + 178 + -9x = 83 + 178 Combine like terms: -178 + 178 = 0 0 + -9x = 83 + 178 -9x = 83 + 178 Combine like terms: 83 + 178 = 261 -9x = 261 Divide each side by '-9'. x = -29 Simplifying x = -29
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