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Simplifying 2x + -18 = -3x + 82 Reorder the terms: -18 + 2x = -3x + 82 Reorder the terms: -18 + 2x = 82 + -3x Solving -18 + 2x = 82 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + 2x + 3x = 82 + -3x + 3x Combine like terms: 2x + 3x = 5x -18 + 5x = 82 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 5x = 82 + 0 -18 + 5x = 82 Add '18' to each side of the equation. -18 + 18 + 5x = 82 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 82 + 18 5x = 82 + 18 Combine like terms: 82 + 18 = 100 5x = 100 Divide each side by '5'. x = 20 Simplifying x = 20
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