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Simplifying 7(3x + 2y) + -2(x + 5y) = 0 (3x * 7 + 2y * 7) + -2(x + 5y) = 0 (21x + 14y) + -2(x + 5y) = 0 21x + 14y + (x * -2 + 5y * -2) = 0 21x + 14y + (-2x + -10y) = 0 Reorder the terms: 21x + -2x + 14y + -10y = 0 Combine like terms: 21x + -2x = 19x 19x + 14y + -10y = 0 Combine like terms: 14y + -10y = 4y 19x + 4y = 0 Solving 19x + 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. 19x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 19x + 0 = 0 + -4y 19x = 0 + -4y Remove the zero: 19x = -4y Divide each side by '19'. x = -0.2105263158y Simplifying x = -0.2105263158y
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