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Simplifying 7(7x + -5) = 14x Reorder the terms: 7(-5 + 7x) = 14x (-5 * 7 + 7x * 7) = 14x (-35 + 49x) = 14x Solving -35 + 49x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -35 + 49x + -14x = 14x + -14x Combine like terms: 49x + -14x = 35x -35 + 35x = 14x + -14x Combine like terms: 14x + -14x = 0 -35 + 35x = 0 Add '35' to each side of the equation. -35 + 35 + 35x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 35x = 0 + 35 35x = 0 + 35 Combine like terms: 0 + 35 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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