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Simplifying 7(5x + 7) = 7(-7x + -4) Reorder the terms: 7(7 + 5x) = 7(-7x + -4) (7 * 7 + 5x * 7) = 7(-7x + -4) (49 + 35x) = 7(-7x + -4) Reorder the terms: 49 + 35x = 7(-4 + -7x) 49 + 35x = (-4 * 7 + -7x * 7) 49 + 35x = (-28 + -49x) Solving 49 + 35x = -28 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 49 + 35x + 49x = -28 + -49x + 49x Combine like terms: 35x + 49x = 84x 49 + 84x = -28 + -49x + 49x Combine like terms: -49x + 49x = 0 49 + 84x = -28 + 0 49 + 84x = -28 Add '-49' to each side of the equation. 49 + -49 + 84x = -28 + -49 Combine like terms: 49 + -49 = 0 0 + 84x = -28 + -49 84x = -28 + -49 Combine like terms: -28 + -49 = -77 84x = -77 Divide each side by '84'. x = -0.9166666667 Simplifying x = -0.9166666667
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