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Simplifying 7x + -5(7 + -1x) = 49 7x + (7 * -5 + -1x * -5) = 49 7x + (-35 + 5x) = 49 Reorder the terms: -35 + 7x + 5x = 49 Combine like terms: 7x + 5x = 12x -35 + 12x = 49 Solving -35 + 12x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 12x = 49 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 49 + 35 12x = 49 + 35 Combine like terms: 49 + 35 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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