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Simplifying 3(5x + -4y) + -2(x + -4y) = 0 (5x * 3 + -4y * 3) + -2(x + -4y) = 0 (15x + -12y) + -2(x + -4y) = 0 15x + -12y + (x * -2 + -4y * -2) = 0 15x + -12y + (-2x + 8y) = 0 Reorder the terms: 15x + -2x + -12y + 8y = 0 Combine like terms: 15x + -2x = 13x 13x + -12y + 8y = 0 Combine like terms: -12y + 8y = -4y 13x + -4y = 0 Solving 13x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 13x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 13x + 0 = 0 + 4y 13x = 0 + 4y Remove the zero: 13x = 4y Divide each side by '13'. x = 0.3076923077y Simplifying x = 0.3076923077y
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