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Simplifying 7x + -49 = 2x + 6 Reorder the terms: -49 + 7x = 2x + 6 Reorder the terms: -49 + 7x = 6 + 2x Solving -49 + 7x = 6 + 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. -49 + 7x + -2x = 6 + 2x + -2x Combine like terms: 7x + -2x = 5x -49 + 5x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -49 + 5x = 6 + 0 -49 + 5x = 6 Add '49' to each side of the equation. -49 + 49 + 5x = 6 + 49 Combine like terms: -49 + 49 = 0 0 + 5x = 6 + 49 5x = 6 + 49 Combine like terms: 6 + 49 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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