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Simplifying 2(x + 3y) + 4(x + 5y) + -3x = 0 (x * 2 + 3y * 2) + 4(x + 5y) + -3x = 0 (2x + 6y) + 4(x + 5y) + -3x = 0 2x + 6y + (x * 4 + 5y * 4) + -3x = 0 2x + 6y + (4x + 20y) + -3x = 0 Reorder the terms: 2x + 4x + -3x + 6y + 20y = 0 Combine like terms: 2x + 4x = 6x 6x + -3x + 6y + 20y = 0 Combine like terms: 6x + -3x = 3x 3x + 6y + 20y = 0 Combine like terms: 6y + 20y = 26y 3x + 26y = 0 Solving 3x + 26y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26y' to each side of the equation. 3x + 26y + -26y = 0 + -26y Combine like terms: 26y + -26y = 0 3x + 0 = 0 + -26y 3x = 0 + -26y Remove the zero: 3x = -26y Divide each side by '3'. x = -8.666666667y Simplifying x = -8.666666667y
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