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Simplifying 4(x + -6) = y(4 + -3x) Reorder the terms: 4(-6 + x) = y(4 + -3x) (-6 * 4 + x * 4) = y(4 + -3x) (-24 + 4x) = y(4 + -3x) -24 + 4x = (4 * y + -3x * y) Reorder the terms: -24 + 4x = (-3xy + 4y) -24 + 4x = (-3xy + 4y) Solving -24 + 4x = -3xy + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3xy' to each side of the equation. -24 + 4x + 3xy = -3xy + 3xy + 4y Combine like terms: -3xy + 3xy = 0 -24 + 4x + 3xy = 0 + 4y -24 + 4x + 3xy = 4y Add '24' to each side of the equation. -24 + 4x + 24 + 3xy = 24 + 4y Reorder the terms: -24 + 24 + 4x + 3xy = 24 + 4y Combine like terms: -24 + 24 = 0 0 + 4x + 3xy = 24 + 4y 4x + 3xy = 24 + 4y Reorder the terms: -24 + 4x + 3xy + -4y = 24 + 4y + -24 + -4y Reorder the terms: -24 + 4x + 3xy + -4y = 24 + -24 + 4y + -4y Combine like terms: 24 + -24 = 0 -24 + 4x + 3xy + -4y = 0 + 4y + -4y -24 + 4x + 3xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -24 + 4x + 3xy + -4y = 0 The solution to this equation could not be determined.
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