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Simplifying -2x + -49 = 3x + 71 Reorder the terms: -49 + -2x = 3x + 71 Reorder the terms: -49 + -2x = 71 + 3x Solving -49 + -2x = 71 + 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. -49 + -2x + -3x = 71 + 3x + -3x Combine like terms: -2x + -3x = -5x -49 + -5x = 71 + 3x + -3x Combine like terms: 3x + -3x = 0 -49 + -5x = 71 + 0 -49 + -5x = 71 Add '49' to each side of the equation. -49 + 49 + -5x = 71 + 49 Combine like terms: -49 + 49 = 0 0 + -5x = 71 + 49 -5x = 71 + 49 Combine like terms: 71 + 49 = 120 -5x = 120 Divide each side by '-5'. x = -24 Simplifying x = -24
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