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Simplifying 5(3x + -2y) + 3(3x + 4y) = 0 (3x * 5 + -2y * 5) + 3(3x + 4y) = 0 (15x + -10y) + 3(3x + 4y) = 0 15x + -10y + (3x * 3 + 4y * 3) = 0 15x + -10y + (9x + 12y) = 0 Reorder the terms: 15x + 9x + -10y + 12y = 0 Combine like terms: 15x + 9x = 24x 24x + -10y + 12y = 0 Combine like terms: -10y + 12y = 2y 24x + 2y = 0 Solving 24x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 24x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 24x + 0 = 0 + -2y 24x = 0 + -2y Remove the zero: 24x = -2y Divide each side by '24'. x = -0.08333333333y Simplifying x = -0.08333333333y
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