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Simplifying 2(5 + x) + 3(4x + 2y) = 0 (5 * 2 + x * 2) + 3(4x + 2y) = 0 (10 + 2x) + 3(4x + 2y) = 0 10 + 2x + (4x * 3 + 2y * 3) = 0 10 + 2x + (12x + 6y) = 0 Combine like terms: 2x + 12x = 14x 10 + 14x + 6y = 0 Solving 10 + 14x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 14x + -10 + 6y = 0 + -10 Reorder the terms: 10 + -10 + 14x + 6y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 14x + 6y = 0 + -10 14x + 6y = 0 + -10 Combine like terms: 0 + -10 = -10 14x + 6y = -10 Add '-6y' to each side of the equation. 14x + 6y + -6y = -10 + -6y Combine like terms: 6y + -6y = 0 14x + 0 = -10 + -6y 14x = -10 + -6y Divide each side by '14'. x = -0.7142857143 + -0.4285714286y Simplifying x = -0.7142857143 + -0.4285714286y
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