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Simplifying 3x + 4y + -5x + 8y = ax + by Reorder the terms: 3x + -5x + 4y + 8y = ax + by Combine like terms: 3x + -5x = -2x -2x + 4y + 8y = ax + by Combine like terms: 4y + 8y = 12y -2x + 12y = ax + by Solving -2x + 12y = 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. -2x + -1ax + 12y = ax + -1ax + by Reorder the terms: -1ax + -2x + 12y = ax + -1ax + by Combine like terms: ax + -1ax = 0 -1ax + -2x + 12y = 0 + by -1ax + -2x + 12y = by Add '-12y' to each side of the equation. -1ax + -2x + 12y + -12y = by + -12y Combine like terms: 12y + -12y = 0 -1ax + -2x + 0 = by + -12y -1ax + -2x = by + -12y Reorder the terms: -1ax + -1by + -2x + 12y = by + -12y + -1by + 12y Reorder the terms: -1ax + -1by + -2x + 12y = by + -1by + -12y + 12y Combine like terms: by + -1by = 0 -1ax + -1by + -2x + 12y = 0 + -12y + 12y -1ax + -1by + -2x + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 -1ax + -1by + -2x + 12y = 0 The solution to this equation could not be determined.
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