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