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Simplifying (b + -1a + -2) * x = (4b + -2a + 6) Reorder the terms: (-2 + -1a + b) * x = (4b + -2a + 6) Reorder the terms for easier multiplication: x(-2 + -1a + b) = (4b + -2a + 6) (-2 * x + -1a * x + b * x) = (4b + -2a + 6) Reorder the terms: (-1ax + bx + -2x) = (4b + -2a + 6) (-1ax + bx + -2x) = (4b + -2a + 6) Reorder the terms: -1ax + bx + -2x = (6 + -2a + 4b) Remove parenthesis around (6 + -2a + 4b) -1ax + bx + -2x = 6 + -2a + 4b Solving -1ax + bx + -2x = 6 + -2a + 4b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -1ax + bx + 2a + -2x = 6 + -2a + 2a + 4b Reorder the terms: 2a + -1ax + bx + -2x = 6 + -2a + 2a + 4b Combine like terms: -2a + 2a = 0 2a + -1ax + bx + -2x = 6 + 0 + 4b 2a + -1ax + bx + -2x = 6 + 4b Add '-1bx' to each side of the equation. 2a + -1ax + bx + -1bx + -2x = 6 + 4b + -1bx Combine like terms: bx + -1bx = 0 2a + -1ax + 0 + -2x = 6 + 4b + -1bx 2a + -1ax + -2x = 6 + 4b + -1bx Add '2x' to each side of the equation. 2a + -1ax + -2x + 2x = 6 + 4b + -1bx + 2x Combine like terms: -2x + 2x = 0 2a + -1ax + 0 = 6 + 4b + -1bx + 2x 2a + -1ax = 6 + 4b + -1bx + 2x Reorder the terms: -6 + 2a + -1ax + -4b + bx + -2x = 6 + 4b + -1bx + 2x + -6 + -4b + bx + -2x Reorder the terms: -6 + 2a + -1ax + -4b + bx + -2x = 6 + -6 + 4b + -4b + -1bx + bx + 2x + -2x Combine like terms: 6 + -6 = 0 -6 + 2a + -1ax + -4b + bx + -2x = 0 + 4b + -4b + -1bx + bx + 2x + -2x -6 + 2a + -1ax + -4b + bx + -2x = 4b + -4b + -1bx + bx + 2x + -2x Combine like terms: 4b + -4b = 0 -6 + 2a + -1ax + -4b + bx + -2x = 0 + -1bx + bx + 2x + -2x -6 + 2a + -1ax + -4b + bx + -2x = -1bx + bx + 2x + -2x Combine like terms: -1bx + bx = 0 -6 + 2a + -1ax + -4b + bx + -2x = 0 + 2x + -2x -6 + 2a + -1ax + -4b + bx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2a + -1ax + -4b + bx + -2x = 0 The solution to this equation could not be determined.
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