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Simplifying 2x + 49 = 121 + -6x Reorder the terms: 49 + 2x = 121 + -6x Solving 49 + 2x = 121 + -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. 49 + 2x + 6x = 121 + -6x + 6x Combine like terms: 2x + 6x = 8x 49 + 8x = 121 + -6x + 6x Combine like terms: -6x + 6x = 0 49 + 8x = 121 + 0 49 + 8x = 121 Add '-49' to each side of the equation. 49 + -49 + 8x = 121 + -49 Combine like terms: 49 + -49 = 0 0 + 8x = 121 + -49 8x = 121 + -49 Combine like terms: 121 + -49 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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