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Simplifying bx + -1(c + -1x) = a + d bx + (c * -1 + -1x * -1) = a + d bx + (-1c + 1x) = a + d Solving bx + -1c + 1x = a + d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'c' to each side of the equation. bx + -1c + c + 1x = a + c + d Combine like terms: -1c + c = 0 bx + 0 + 1x = a + c + d bx + 1x = a + c + d Add '-1x' to each side of the equation. bx + 1x + -1x = a + c + d + -1x Combine like terms: 1x + -1x = 0 bx + 0 = a + c + d + -1x bx = a + c + d + -1x Divide each side by 'x'. b = ax-1 + cx-1 + dx-1 + -1 Simplifying b = ax-1 + cx-1 + dx-1 + -1 Reorder the terms: b = -1 + ax-1 + cx-1 + dx-1
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