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Simplifying 7(14x + -7) = 77 + -14x Reorder the terms: 7(-7 + 14x) = 77 + -14x (-7 * 7 + 14x * 7) = 77 + -14x (-49 + 98x) = 77 + -14x Solving -49 + 98x = 77 + -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 + 98x + 14x = 77 + -14x + 14x Combine like terms: 98x + 14x = 112x -49 + 112x = 77 + -14x + 14x Combine like terms: -14x + 14x = 0 -49 + 112x = 77 + 0 -49 + 112x = 77 Add '49' to each side of the equation. -49 + 49 + 112x = 77 + 49 Combine like terms: -49 + 49 = 0 0 + 112x = 77 + 49 112x = 77 + 49 Combine like terms: 77 + 49 = 126 112x = 126 Divide each side by '112'. x = 1.125 Simplifying x = 1.125
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