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Simplifying 2x(5y + -4) = 3y(4x + -7) + -8 Reorder the terms: 2x(-4 + 5y) = 3y(4x + -7) + -8 (-4 * 2x + 5y * 2x) = 3y(4x + -7) + -8 (-8x + 10xy) = 3y(4x + -7) + -8 Reorder the terms: -8x + 10xy = 3y(-7 + 4x) + -8 -8x + 10xy = (-7 * 3y + 4x * 3y) + -8 Reorder the terms: -8x + 10xy = (12xy + -21y) + -8 -8x + 10xy = (12xy + -21y) + -8 Reorder the terms: -8x + 10xy = -8 + 12xy + -21y Solving -8x + 10xy = -8 + 12xy + -21y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12xy' to each side of the equation. -8x + 10xy + -12xy = -8 + 12xy + -12xy + -21y Combine like terms: 10xy + -12xy = -2xy -8x + -2xy = -8 + 12xy + -12xy + -21y Combine like terms: 12xy + -12xy = 0 -8x + -2xy = -8 + 0 + -21y -8x + -2xy = -8 + -21y Reorder the terms: 8 + -8x + -2xy + 21y = -8 + -21y + 8 + 21y Reorder the terms: 8 + -8x + -2xy + 21y = -8 + 8 + -21y + 21y Combine like terms: -8 + 8 = 0 8 + -8x + -2xy + 21y = 0 + -21y + 21y 8 + -8x + -2xy + 21y = -21y + 21y Combine like terms: -21y + 21y = 0 8 + -8x + -2xy + 21y = 0 The solution to this equation could not be determined.
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