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Simplifying 17 + 3(X + -2) + -11x = -7(x + 2) + 14 Reorder the terms: 17 + 3(-2 + X) + -11x = -7(x + 2) + 14 17 + (-2 * 3 + X * 3) + -11x = -7(x + 2) + 14 17 + (-6 + 3X) + -11x = -7(x + 2) + 14 Combine like terms: 17 + -6 = 11 11 + 3X + -11x = -7(x + 2) + 14 Reorder the terms: 11 + 3X + -11x = -7(2 + x) + 14 11 + 3X + -11x = (2 * -7 + x * -7) + 14 11 + 3X + -11x = (-14 + -7x) + 14 Reorder the terms: 11 + 3X + -11x = -14 + 14 + -7x Combine like terms: -14 + 14 = 0 11 + 3X + -11x = 0 + -7x 11 + 3X + -11x = -7x Solving 11 + 3X + -11x = -7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 3X + -11 + -11x = -11 + -7x Reorder the terms: 11 + -11 + 3X + -11x = -11 + -7x Combine like terms: 11 + -11 = 0 0 + 3X + -11x = -11 + -7x 3X + -11x = -11 + -7x Add '11x' to each side of the equation. 3X + -11x + 11x = -11 + -7x + 11x Combine like terms: -11x + 11x = 0 3X + 0 = -11 + -7x + 11x 3X = -11 + -7x + 11x Combine like terms: -7x + 11x = 4x 3X = -11 + 4x Divide each side by '3'. X = -3.666666667 + 1.333333333x Simplifying X = -3.666666667 + 1.333333333x
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