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Simplifying -83 = 5x + 2x + 1 Reorder the terms: -83 = 1 + 5x + 2x Combine like terms: 5x + 2x = 7x -83 = 1 + 7x Solving -83 = 1 + 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 + -7x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -83 + -7x = 1 + 0 -83 + -7x = 1 Add '83' to each side of the equation. -83 + 83 + -7x = 1 + 83 Combine like terms: -83 + 83 = 0 0 + -7x = 1 + 83 -7x = 1 + 83 Combine like terms: 1 + 83 = 84 -7x = 84 Divide each side by '-7'. x = -12 Simplifying x = -12
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