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Simplifying (x * 2 + 7x + -14) + -1(8 + -2x) = 0 Reorder the terms for easier multiplication: (2x + 7x + -14) + -1(8 + -2x) = 0 Reorder the terms: (-14 + 2x + 7x) + -1(8 + -2x) = 0 Combine like terms: 2x + 7x = 9x (-14 + 9x) + -1(8 + -2x) = 0 Remove parenthesis around (-14 + 9x) -14 + 9x + -1(8 + -2x) = 0 -14 + 9x + (8 * -1 + -2x * -1) = 0 -14 + 9x + (-8 + 2x) = 0 Reorder the terms: -14 + -8 + 9x + 2x = 0 Combine like terms: -14 + -8 = -22 -22 + 9x + 2x = 0 Combine like terms: 9x + 2x = 11x -22 + 11x = 0 Solving -22 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 11x = 0 + 22 11x = 0 + 22 Combine like terms: 0 + 22 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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