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