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Simplifying 2(2x + -7) = 77 + -9x Reorder the terms: 2(-7 + 2x) = 77 + -9x (-7 * 2 + 2x * 2) = 77 + -9x (-14 + 4x) = 77 + -9x Solving -14 + 4x = 77 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + 4x + 9x = 77 + -9x + 9x Combine like terms: 4x + 9x = 13x -14 + 13x = 77 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 13x = 77 + 0 -14 + 13x = 77 Add '14' to each side of the equation. -14 + 14 + 13x = 77 + 14 Combine like terms: -14 + 14 = 0 0 + 13x = 77 + 14 13x = 77 + 14 Combine like terms: 77 + 14 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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