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Simplifying 3(2x + -4y) + -4(x + -5y) = 24 (2x * 3 + -4y * 3) + -4(x + -5y) = 24 (6x + -12y) + -4(x + -5y) = 24 6x + -12y + (x * -4 + -5y * -4) = 24 6x + -12y + (-4x + 20y) = 24 Reorder the terms: 6x + -4x + -12y + 20y = 24 Combine like terms: 6x + -4x = 2x 2x + -12y + 20y = 24 Combine like terms: -12y + 20y = 8y 2x + 8y = 24 Solving 2x + 8y = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 2x + 8y + -8y = 24 + -8y Combine like terms: 8y + -8y = 0 2x + 0 = 24 + -8y 2x = 24 + -8y Divide each side by '2'. x = 12 + -4y Simplifying x = 12 + -4y
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