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Simplifying 7(5x + -7) = 14x Reorder the terms: 7(-7 + 5x) = 14x (-7 * 7 + 5x * 7) = 14x (-49 + 35x) = 14x Solving -49 + 35x = 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. -49 + 35x + -14x = 14x + -14x Combine like terms: 35x + -14x = 21x -49 + 21x = 14x + -14x Combine like terms: 14x + -14x = 0 -49 + 21x = 0 Add '49' to each side of the equation. -49 + 49 + 21x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 21x = 0 + 49 21x = 0 + 49 Combine like terms: 0 + 49 = 49 21x = 49 Divide each side by '21'. x = 2.333333333 Simplifying x = 2.333333333
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