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Simplifying 3x + 2y + -5 = ax + by + 1 Reorder the terms: -5 + 3x + 2y = ax + by + 1 Reorder the terms: -5 + 3x + 2y = 1 + ax + by Solving -5 + 3x + 2y = 1 + ax + by Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax' to each side of the equation. -5 + 3x + -1ax + 2y = 1 + ax + -1ax + by Reorder the terms: -5 + -1ax + 3x + 2y = 1 + ax + -1ax + by Combine like terms: ax + -1ax = 0 -5 + -1ax + 3x + 2y = 1 + 0 + by -5 + -1ax + 3x + 2y = 1 + by Add '5' to each side of the equation. -5 + -1ax + 3x + 5 + 2y = 1 + 5 + by Reorder the terms: -5 + 5 + -1ax + 3x + 2y = 1 + 5 + by Combine like terms: -5 + 5 = 0 0 + -1ax + 3x + 2y = 1 + 5 + by -1ax + 3x + 2y = 1 + 5 + by Combine like terms: 1 + 5 = 6 -1ax + 3x + 2y = 6 + by Add '-2y' to each side of the equation. -1ax + 3x + 2y + -2y = 6 + by + -2y Combine like terms: 2y + -2y = 0 -1ax + 3x + 0 = 6 + by + -2y -1ax + 3x = 6 + by + -2y Reorder the terms: -6 + -1ax + -1by + 3x + 2y = 6 + by + -2y + -6 + -1by + 2y Reorder the terms: -6 + -1ax + -1by + 3x + 2y = 6 + -6 + by + -1by + -2y + 2y Combine like terms: 6 + -6 = 0 -6 + -1ax + -1by + 3x + 2y = 0 + by + -1by + -2y + 2y -6 + -1ax + -1by + 3x + 2y = by + -1by + -2y + 2y Combine like terms: by + -1by = 0 -6 + -1ax + -1by + 3x + 2y = 0 + -2y + 2y -6 + -1ax + -1by + 3x + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -6 + -1ax + -1by + 3x + 2y = 0 The solution to this equation could not be determined.
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