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Simplifying a(x + 3) + b(x + -2) = c(x + -1) Reorder the terms: a(3 + x) + b(x + -2) = c(x + -1) (3 * a + x * a) + b(x + -2) = c(x + -1) (3a + ax) + b(x + -2) = c(x + -1) Reorder the terms: 3a + ax + b(-2 + x) = c(x + -1) 3a + ax + (-2 * b + x * b) = c(x + -1) 3a + ax + (-2b + bx) = c(x + -1) Reorder the terms: 3a + ax + -2b + bx = c(-1 + x) 3a + ax + -2b + bx = (-1 * c + x * c) 3a + ax + -2b + bx = (-1c + cx) Solving 3a + ax + -2b + bx = -1c + cx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 3a + ax + -2b + 2b + bx = -1c + 2b + cx Combine like terms: -2b + 2b = 0 3a + ax + 0 + bx = -1c + 2b + cx 3a + ax + bx = -1c + 2b + cx Reorder the terms: 3a + ax + bx = 2b + -1c + cx Add '-1bx' to each side of the equation. 3a + ax + bx + -1bx = 2b + -1c + -1bx + cx Combine like terms: bx + -1bx = 0 3a + ax + 0 = 2b + -1c + -1bx + cx 3a + ax = 2b + -1c + -1bx + cx Reorder the terms: 3a + ax = 2b + -1bx + -1c + cx Reorder the terms: 3a + ax + -2b + bx + c + -1cx = 2b + -2b + -1bx + bx + -1c + c + cx + -1cx Combine like terms: 2b + -2b = 0 3a + ax + -2b + bx + c + -1cx = 0 + -1bx + bx + -1c + c + cx + -1cx 3a + ax + -2b + bx + c + -1cx = -1bx + bx + -1c + c + cx + -1cx Combine like terms: -1bx + bx = 0 3a + ax + -2b + bx + c + -1cx = 0 + -1c + c + cx + -1cx 3a + ax + -2b + bx + c + -1cx = -1c + c + cx + -1cx Combine like terms: -1c + c = 0 3a + ax + -2b + bx + c + -1cx = 0 + cx + -1cx 3a + ax + -2b + bx + c + -1cx = cx + -1cx Combine like terms: cx + -1cx = 0 3a + ax + -2b + bx + c + -1cx = 0 The solution to this equation could not be determined.
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