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Simplifying ax + (3 + -1b) * x = 5x + 2a + -10 + b Reorder the terms for easier multiplication: ax + x(3 + -1b) = 5x + 2a + -10 + b ax + (3 * x + -1b * x) = 5x + 2a + -10 + b Reorder the terms: ax + (-1bx + 3x) = 5x + 2a + -10 + b ax + (-1bx + 3x) = 5x + 2a + -10 + b Reorder the terms: ax + -1bx + 3x = -10 + 2a + b + 5x Solving ax + -1bx + 3x = -10 + 2a + b + 5x 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. ax + -1bx + -2a + 3x = -10 + 2a + b + -2a + 5x Reorder the terms: -2a + ax + -1bx + 3x = -10 + 2a + b + -2a + 5x Reorder the terms: -2a + ax + -1bx + 3x = -10 + 2a + -2a + b + 5x Combine like terms: 2a + -2a = 0 -2a + ax + -1bx + 3x = -10 + 0 + b + 5x -2a + ax + -1bx + 3x = -10 + b + 5x Add 'bx' to each side of the equation. -2a + ax + -1bx + bx + 3x = -10 + b + bx + 5x Combine like terms: -1bx + bx = 0 -2a + ax + 0 + 3x = -10 + b + bx + 5x -2a + ax + 3x = -10 + b + bx + 5x Add '-3x' to each side of the equation. -2a + ax + 3x + -3x = -10 + b + bx + 5x + -3x Combine like terms: 3x + -3x = 0 -2a + ax + 0 = -10 + b + bx + 5x + -3x -2a + ax = -10 + b + bx + 5x + -3x Combine like terms: 5x + -3x = 2x -2a + ax = -10 + b + bx + 2x Reorder the terms: 10 + -2a + ax + -1b + -1bx + -2x = -10 + b + bx + 2x + 10 + -1b + -1bx + -2x Reorder the terms: 10 + -2a + ax + -1b + -1bx + -2x = -10 + 10 + b + -1b + bx + -1bx + 2x + -2x Combine like terms: -10 + 10 = 0 10 + -2a + ax + -1b + -1bx + -2x = 0 + b + -1b + bx + -1bx + 2x + -2x 10 + -2a + ax + -1b + -1bx + -2x = b + -1b + bx + -1bx + 2x + -2x Combine like terms: b + -1b = 0 10 + -2a + ax + -1b + -1bx + -2x = 0 + bx + -1bx + 2x + -2x 10 + -2a + ax + -1b + -1bx + -2x = bx + -1bx + 2x + -2x Combine like terms: bx + -1bx = 0 10 + -2a + ax + -1b + -1bx + -2x = 0 + 2x + -2x 10 + -2a + ax + -1b + -1bx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 10 + -2a + ax + -1b + -1bx + -2x = 0 The solution to this equation could not be determined.
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