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Simplifying (X + 4) + -1in(x + 4) = in(x + -2) Reorder the terms: (4 + X) + -1in(x + 4) = in(x + -2) Remove parenthesis around (4 + X) 4 + X + -1in(x + 4) = in(x + -2) Reorder the terms: 4 + X + -1in(4 + x) = in(x + -2) 4 + X + (4 * -1in + x * -1in) = in(x + -2) 4 + X + (-4in + -1inx) = in(x + -2) Reorder the terms: 4 + X + -4in + -1inx = in(-2 + x) 4 + X + -4in + -1inx = (-2 * in + x * in) 4 + X + -4in + -1inx = (-2in + inx) Solving 4 + X + -4in + -1inx = -2in + inx Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + X + -4in + -4 + -1inx = -2in + -4 + inx Reorder the terms: 4 + -4 + X + -4in + -1inx = -2in + -4 + inx Combine like terms: 4 + -4 = 0 0 + X + -4in + -1inx = -2in + -4 + inx X + -4in + -1inx = -2in + -4 + inx Reorder the terms: X + -4in + -1inx = -4 + -2in + inx Add '4in' to each side of the equation. X + -4in + 4in + -1inx = -4 + -2in + 4in + inx Combine like terms: -4in + 4in = 0 X + 0 + -1inx = -4 + -2in + 4in + inx X + -1inx = -4 + -2in + 4in + inx Combine like terms: -2in + 4in = 2in X + -1inx = -4 + 2in + inx Add 'inx' to each side of the equation. X + -1inx + inx = -4 + 2in + inx + inx Combine like terms: -1inx + inx = 0 X + 0 = -4 + 2in + inx + inx X = -4 + 2in + inx + inx Combine like terms: inx + inx = 2inx X = -4 + 2in + 2inx Simplifying X = -4 + 2in + 2inx
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