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Simplifying 2x + 41 = 5x + -13 Reorder the terms: 41 + 2x = 5x + -13 Reorder the terms: 41 + 2x = -13 + 5x Solving 41 + 2x = -13 + 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. 41 + 2x + -5x = -13 + 5x + -5x Combine like terms: 2x + -5x = -3x 41 + -3x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + -3x = -13 + 0 41 + -3x = -13 Add '-41' to each side of the equation. 41 + -41 + -3x = -13 + -41 Combine like terms: 41 + -41 = 0 0 + -3x = -13 + -41 -3x = -13 + -41 Combine like terms: -13 + -41 = -54 -3x = -54 Divide each side by '-3'. x = 18 Simplifying x = 18
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