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Simplifying 2x + -5x + 41 = 2x + 31 Reorder the terms: 41 + 2x + -5x = 2x + 31 Combine like terms: 2x + -5x = -3x 41 + -3x = 2x + 31 Reorder the terms: 41 + -3x = 31 + 2x Solving 41 + -3x = 31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 41 + -3x + -2x = 31 + 2x + -2x Combine like terms: -3x + -2x = -5x 41 + -5x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 41 + -5x = 31 + 0 41 + -5x = 31 Add '-41' to each side of the equation. 41 + -41 + -5x = 31 + -41 Combine like terms: 41 + -41 = 0 0 + -5x = 31 + -41 -5x = 31 + -41 Combine like terms: 31 + -41 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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