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Simplifying -7(5 + 7x) = -7(5x + 1) (5 * -7 + 7x * -7) = -7(5x + 1) (-35 + -49x) = -7(5x + 1) Reorder the terms: -35 + -49x = -7(1 + 5x) -35 + -49x = (1 * -7 + 5x * -7) -35 + -49x = (-7 + -35x) Solving -35 + -49x = -7 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -35 + -49x + 35x = -7 + -35x + 35x Combine like terms: -49x + 35x = -14x -35 + -14x = -7 + -35x + 35x Combine like terms: -35x + 35x = 0 -35 + -14x = -7 + 0 -35 + -14x = -7 Add '35' to each side of the equation. -35 + 35 + -14x = -7 + 35 Combine like terms: -35 + 35 = 0 0 + -14x = -7 + 35 -14x = -7 + 35 Combine like terms: -7 + 35 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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