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Simplifying -7x + -83 = x + 77 Reorder the terms: -83 + -7x = x + 77 Reorder the terms: -83 + -7x = 77 + x Solving -83 + -7x = 77 + 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. -83 + -7x + -1x = 77 + x + -1x Combine like terms: -7x + -1x = -8x -83 + -8x = 77 + x + -1x Combine like terms: x + -1x = 0 -83 + -8x = 77 + 0 -83 + -8x = 77 Add '83' to each side of the equation. -83 + 83 + -8x = 77 + 83 Combine like terms: -83 + 83 = 0 0 + -8x = 77 + 83 -8x = 77 + 83 Combine like terms: 77 + 83 = 160 -8x = 160 Divide each side by '-8'. x = -20 Simplifying x = -20
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