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Simplifying -83 = 3x + -5(-1x + 7) Reorder the terms: -83 = 3x + -5(7 + -1x) -83 = 3x + (7 * -5 + -1x * -5) -83 = 3x + (-35 + 5x) Reorder the terms: -83 = -35 + 3x + 5x Combine like terms: 3x + 5x = 8x -83 = -35 + 8x Solving -83 = -35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -83 + -8x = -35 + 8x + -8x Combine like terms: 8x + -8x = 0 -83 + -8x = -35 + 0 -83 + -8x = -35 Add '83' to each side of the equation. -83 + 83 + -8x = -35 + 83 Combine like terms: -83 + 83 = 0 0 + -8x = -35 + 83 -8x = -35 + 83 Combine like terms: -35 + 83 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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