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Simplifying 5(x + 2y) + -3x + 2y = 0 (x * 5 + 2y * 5) + -3x + 2y = 0 (5x + 10y) + -3x + 2y = 0 Reorder the terms: 5x + -3x + 10y + 2y = 0 Combine like terms: 5x + -3x = 2x 2x + 10y + 2y = 0 Combine like terms: 10y + 2y = 12y 2x + 12y = 0 Solving 2x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 2x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 2x + 0 = 0 + -12y 2x = 0 + -12y Remove the zero: 2x = -12y Divide each side by '2'. x = -6y Simplifying x = -6y
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