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Simplifying -1x + -83 = 7x + 21 Reorder the terms: -83 + -1x = 7x + 21 Reorder the terms: -83 + -1x = 21 + 7x Solving -83 + -1x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -83 + -1x + -7x = 21 + 7x + -7x Combine like terms: -1x + -7x = -8x -83 + -8x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -83 + -8x = 21 + 0 -83 + -8x = 21 Add '83' to each side of the equation. -83 + 83 + -8x = 21 + 83 Combine like terms: -83 + 83 = 0 0 + -8x = 21 + 83 -8x = 21 + 83 Combine like terms: 21 + 83 = 104 -8x = 104 Divide each side by '-8'. x = -13 Simplifying x = -13
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