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