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Simplifying 3(10x + y) + 2x + 7y = 0 (10x * 3 + y * 3) + 2x + 7y = 0 (30x + 3y) + 2x + 7y = 0 Reorder the terms: 30x + 2x + 3y + 7y = 0 Combine like terms: 30x + 2x = 32x 32x + 3y + 7y = 0 Combine like terms: 3y + 7y = 10y 32x + 10y = 0 Solving 32x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 32x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 32x + 0 = 0 + -10y 32x = 0 + -10y Remove the zero: 32x = -10y Divide each side by '32'. x = -0.3125y Simplifying x = -0.3125y
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