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Simplifying -2x + -65 = 5x + 82 Reorder the terms: -65 + -2x = 5x + 82 Reorder the terms: -65 + -2x = 82 + 5x Solving -65 + -2x = 82 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -65 + -2x + -5x = 82 + 5x + -5x Combine like terms: -2x + -5x = -7x -65 + -7x = 82 + 5x + -5x Combine like terms: 5x + -5x = 0 -65 + -7x = 82 + 0 -65 + -7x = 82 Add '65' to each side of the equation. -65 + 65 + -7x = 82 + 65 Combine like terms: -65 + 65 = 0 0 + -7x = 82 + 65 -7x = 82 + 65 Combine like terms: 82 + 65 = 147 -7x = 147 Divide each side by '-7'. x = -21 Simplifying x = -21
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