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Simplifying 1.4(x + 3.5y) + 2(3.5x + 1.7y) = 0 (x * 1.4 + 3.5y * 1.4) + 2(3.5x + 1.7y) = 0 (1.4x + 4.9y) + 2(3.5x + 1.7y) = 0 1.4x + 4.9y + (3.5x * 2 + 1.7y * 2) = 0 1.4x + 4.9y + (7x + 3.4y) = 0 Reorder the terms: 1.4x + 7x + 4.9y + 3.4y = 0 Combine like terms: 1.4x + 7x = 8.4x 8.4x + 4.9y + 3.4y = 0 Combine like terms: 4.9y + 3.4y = 8.3y 8.4x + 8.3y = 0 Solving 8.4x + 8.3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.3y' to each side of the equation. 8.4x + 8.3y + -8.3y = 0 + -8.3y Combine like terms: 8.3y + -8.3y = 0.0 8.4x + 0.0 = 0 + -8.3y 8.4x = 0 + -8.3y Remove the zero: 8.4x = -8.3y Divide each side by '8.4'. x = -0.9880952381y Simplifying x = -0.9880952381y
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