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Simplifying 2x + 6 = 41 + -5x Reorder the terms: 6 + 2x = 41 + -5x Solving 6 + 2x = 41 + -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. 6 + 2x + 5x = 41 + -5x + 5x Combine like terms: 2x + 5x = 7x 6 + 7x = 41 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 7x = 41 + 0 6 + 7x = 41 Add '-6' to each side of the equation. 6 + -6 + 7x = 41 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 41 + -6 7x = 41 + -6 Combine like terms: 41 + -6 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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