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Simplifying 3(5x + -2y) + -5(x + y) = ax + by (5x * 3 + -2y * 3) + -5(x + y) = ax + by (15x + -6y) + -5(x + y) = ax + by 15x + -6y + (x * -5 + y * -5) = ax + by 15x + -6y + (-5x + -5y) = ax + by Reorder the terms: 15x + -5x + -6y + -5y = ax + by Combine like terms: 15x + -5x = 10x 10x + -6y + -5y = ax + by Combine like terms: -6y + -5y = -11y 10x + -11y = ax + by Solving 10x + -11y = 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. 10x + -1ax + -11y = ax + -1ax + by Reorder the terms: -1ax + 10x + -11y = ax + -1ax + by Combine like terms: ax + -1ax = 0 -1ax + 10x + -11y = 0 + by -1ax + 10x + -11y = by Add '11y' to each side of the equation. -1ax + 10x + -11y + 11y = by + 11y Combine like terms: -11y + 11y = 0 -1ax + 10x + 0 = by + 11y -1ax + 10x = by + 11y Reorder the terms: -1ax + -1by + 10x + -11y = by + 11y + -1by + -11y Reorder the terms: -1ax + -1by + 10x + -11y = by + -1by + 11y + -11y Combine like terms: by + -1by = 0 -1ax + -1by + 10x + -11y = 0 + 11y + -11y -1ax + -1by + 10x + -11y = 11y + -11y Combine like terms: 11y + -11y = 0 -1ax + -1by + 10x + -11y = 0 The solution to this equation could not be determined.
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