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Simplifying 6 + -7(8X + -4) = -1(7 + -9X) + -1(X + -9) Reorder the terms: 6 + -7(-4 + 8X) = -1(7 + -9X) + -1(X + -9) 6 + (-4 * -7 + 8X * -7) = -1(7 + -9X) + -1(X + -9) 6 + (28 + -56X) = -1(7 + -9X) + -1(X + -9) Combine like terms: 6 + 28 = 34 34 + -56X = -1(7 + -9X) + -1(X + -9) 34 + -56X = (7 * -1 + -9X * -1) + -1(X + -9) 34 + -56X = (-7 + 9X) + -1(X + -9) Reorder the terms: 34 + -56X = -7 + 9X + -1(-9 + X) 34 + -56X = -7 + 9X + (-9 * -1 + X * -1) 34 + -56X = -7 + 9X + (9 + -1X) Reorder the terms: 34 + -56X = -7 + 9 + 9X + -1X Combine like terms: -7 + 9 = 2 34 + -56X = 2 + 9X + -1X Combine like terms: 9X + -1X = 8X 34 + -56X = 2 + 8X Solving 34 + -56X = 2 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 34 + -56X + -8X = 2 + 8X + -8X Combine like terms: -56X + -8X = -64X 34 + -64X = 2 + 8X + -8X Combine like terms: 8X + -8X = 0 34 + -64X = 2 + 0 34 + -64X = 2 Add '-34' to each side of the equation. 34 + -34 + -64X = 2 + -34 Combine like terms: 34 + -34 = 0 0 + -64X = 2 + -34 -64X = 2 + -34 Combine like terms: 2 + -34 = -32 -64X = -32 Divide each side by '-64'. X = 0.5 Simplifying X = 0.5
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