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