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Simplifying -14 = (10 + -1(3x + -7) + -8x) Reorder the terms: -14 = (10 + -1(-7 + 3x) + -8x) -14 = (10 + (-7 * -1 + 3x * -1) + -8x) -14 = (10 + (7 + -3x) + -8x) Combine like terms: 10 + 7 = 17 -14 = (17 + -3x + -8x) Combine like terms: -3x + -8x = -11x -14 = (17 + -11x) Remove parenthesis around (17 + -11x) -14 = 17 + -11x Solving -14 = 17 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -14 + 11x = 17 + -11x + 11x Combine like terms: -11x + 11x = 0 -14 + 11x = 17 + 0 -14 + 11x = 17 Add '14' to each side of the equation. -14 + 14 + 11x = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 17 + 14 11x = 17 + 14 Combine like terms: 17 + 14 = 31 11x = 31 Divide each side by '11'. x = 2.818181818 Simplifying x = 2.818181818
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