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Simplifying 2x + 1 = 41 + -6x Reorder the terms: 1 + 2x = 41 + -6x Solving 1 + 2x = 41 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + 2x + 6x = 41 + -6x + 6x Combine like terms: 2x + 6x = 8x 1 + 8x = 41 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 8x = 41 + 0 1 + 8x = 41 Add '-1' to each side of the equation. 1 + -1 + 8x = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 41 + -1 8x = 41 + -1 Combine like terms: 41 + -1 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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