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Simplifying 5x = (2x + -3)(y + 7) Reorder the terms: 5x = (-3 + 2x)(y + 7) Reorder the terms: 5x = (-3 + 2x)(7 + y) Multiply (-3 + 2x) * (7 + y) 5x = (-3(7 + y) + 2x * (7 + y)) 5x = ((7 * -3 + y * -3) + 2x * (7 + y)) 5x = ((-21 + -3y) + 2x * (7 + y)) 5x = (-21 + -3y + (7 * 2x + y * 2x)) 5x = (-21 + -3y + (14x + 2xy)) Reorder the terms: 5x = (-21 + 14x + 2xy + -3y) 5x = (-21 + 14x + 2xy + -3y) Solving 5x = -21 + 14x + 2xy + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 5x + -14x = -21 + 14x + 2xy + -14x + -3y Combine like terms: 5x + -14x = -9x -9x = -21 + 14x + 2xy + -14x + -3y Reorder the terms: -9x = -21 + 14x + -14x + 2xy + -3y Combine like terms: 14x + -14x = 0 -9x = -21 + 0 + 2xy + -3y -9x = -21 + 2xy + -3y Add '-2xy' to each side of the equation. -9x + -2xy = -21 + 2xy + -2xy + -3y Combine like terms: 2xy + -2xy = 0 -9x + -2xy = -21 + 0 + -3y -9x + -2xy = -21 + -3y Reorder the terms: 21 + -9x + -2xy + 3y = -21 + -3y + 21 + 3y Reorder the terms: 21 + -9x + -2xy + 3y = -21 + 21 + -3y + 3y Combine like terms: -21 + 21 = 0 21 + -9x + -2xy + 3y = 0 + -3y + 3y 21 + -9x + -2xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 21 + -9x + -2xy + 3y = 0 The solution to this equation could not be determined.
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