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Simplifying -7x + 1 = -83 + 7x Reorder the terms: 1 + -7x = -83 + 7x Solving 1 + -7x = -83 + 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. 1 + -7x + -7x = -83 + 7x + -7x Combine like terms: -7x + -7x = -14x 1 + -14x = -83 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -14x = -83 + 0 1 + -14x = -83 Add '-1' to each side of the equation. 1 + -1 + -14x = -83 + -1 Combine like terms: 1 + -1 = 0 0 + -14x = -83 + -1 -14x = -83 + -1 Combine like terms: -83 + -1 = -84 -14x = -84 Divide each side by '-14'. x = 6 Simplifying x = 6
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