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Simplifying 7x + 5(X + 3) + 4x + X + 2 = 0 Reorder the terms: 7x + 5(3 + X) + 4x + X + 2 = 0 7x + (3 * 5 + X * 5) + 4x + X + 2 = 0 7x + (15 + 5X) + 4x + X + 2 = 0 Reorder the terms: 15 + 2 + 5X + X + 7x + 4x = 0 Combine like terms: 15 + 2 = 17 17 + 5X + X + 7x + 4x = 0 Combine like terms: 5X + X = 6X 17 + 6X + 7x + 4x = 0 Combine like terms: 7x + 4x = 11x 17 + 6X + 11x = 0 Solving 17 + 6X + 11x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 6X + -17 + 11x = 0 + -17 Reorder the terms: 17 + -17 + 6X + 11x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 6X + 11x = 0 + -17 6X + 11x = 0 + -17 Combine like terms: 0 + -17 = -17 6X + 11x = -17 Add '-11x' to each side of the equation. 6X + 11x + -11x = -17 + -11x Combine like terms: 11x + -11x = 0 6X + 0 = -17 + -11x 6X = -17 + -11x Divide each side by '6'. X = -2.833333333 + -1.833333333x Simplifying X = -2.833333333 + -1.833333333x
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