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Simplifying 7x + 7(x + -5) = 49 Reorder the terms: 7x + 7(-5 + x) = 49 7x + (-5 * 7 + x * 7) = 49 7x + (-35 + 7x) = 49 Reorder the terms: -35 + 7x + 7x = 49 Combine like terms: 7x + 7x = 14x -35 + 14x = 49 Solving -35 + 14x = 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 + 14x = 49 + 35 Combine like terms: -35 + 35 = 0 0 + 14x = 49 + 35 14x = 49 + 35 Combine like terms: 49 + 35 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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