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Simplifying -8x + -152 = x + 100 Reorder the terms: -152 + -8x = x + 100 Reorder the terms: -152 + -8x = 100 + x Solving -152 + -8x = 100 + 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. -152 + -8x + -1x = 100 + x + -1x Combine like terms: -8x + -1x = -9x -152 + -9x = 100 + x + -1x Combine like terms: x + -1x = 0 -152 + -9x = 100 + 0 -152 + -9x = 100 Add '152' to each side of the equation. -152 + 152 + -9x = 100 + 152 Combine like terms: -152 + 152 = 0 0 + -9x = 100 + 152 -9x = 100 + 152 Combine like terms: 100 + 152 = 252 -9x = 252 Divide each side by '-9'. x = -28 Simplifying x = -28
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