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Simplifying 3x + 2(x + -2y) + 4(2x + -5y) = 0 3x + (x * 2 + -2y * 2) + 4(2x + -5y) = 0 3x + (2x + -4y) + 4(2x + -5y) = 0 3x + 2x + -4y + (2x * 4 + -5y * 4) = 0 3x + 2x + -4y + (8x + -20y) = 0 Reorder the terms: 3x + 2x + 8x + -4y + -20y = 0 Combine like terms: 3x + 2x = 5x 5x + 8x + -4y + -20y = 0 Combine like terms: 5x + 8x = 13x 13x + -4y + -20y = 0 Combine like terms: -4y + -20y = -24y 13x + -24y = 0 Solving 13x + -24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. 13x + -24y + 24y = 0 + 24y Combine like terms: -24y + 24y = 0 13x + 0 = 0 + 24y 13x = 0 + 24y Remove the zero: 13x = 24y Divide each side by '13'. x = 1.846153846y Simplifying x = 1.846153846y
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