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Simplifying 2x + -4y + -1(-30 + 4x) = 3xy + -4 2x + -4y + (-30 * -1 + 4x * -1) = 3xy + -4 2x + -4y + (30 + -4x) = 3xy + -4 Reorder the terms: 30 + 2x + -4x + -4y = 3xy + -4 Combine like terms: 2x + -4x = -2x 30 + -2x + -4y = 3xy + -4 Reorder the terms: 30 + -2x + -4y = -4 + 3xy Solving 30 + -2x + -4y = -4 + 3xy 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. 30 + -2x + -3xy + -4y = -4 + 3xy + -3xy Combine like terms: 3xy + -3xy = 0 30 + -2x + -3xy + -4y = -4 + 0 30 + -2x + -3xy + -4y = -4 Add '-30' to each side of the equation. 30 + -2x + -3xy + -30 + -4y = -4 + -30 Reorder the terms: 30 + -30 + -2x + -3xy + -4y = -4 + -30 Combine like terms: 30 + -30 = 0 0 + -2x + -3xy + -4y = -4 + -30 -2x + -3xy + -4y = -4 + -30 Combine like terms: -4 + -30 = -34 -2x + -3xy + -4y = -34 Add '4y' to each side of the equation. -2x + -3xy + -4y + 4y = -34 + 4y Combine like terms: -4y + 4y = 0 -2x + -3xy + 0 = -34 + 4y -2x + -3xy = -34 + 4y Reorder the terms: 34 + -2x + -3xy + -4y = -34 + 4y + 34 + -4y Reorder the terms: 34 + -2x + -3xy + -4y = -34 + 34 + 4y + -4y Combine like terms: -34 + 34 = 0 34 + -2x + -3xy + -4y = 0 + 4y + -4y 34 + -2x + -3xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 34 + -2x + -3xy + -4y = 0 The solution to this equation could not be determined.
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