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Simplifying 3.2(5x + -1y) + -0.3(-1.6x + 7y) = 0 (5x * 3.2 + -1y * 3.2) + -0.3(-1.6x + 7y) = 0 (16x + -3.2y) + -0.3(-1.6x + 7y) = 0 16x + -3.2y + (-1.6x * -0.3 + 7y * -0.3) = 0 16x + -3.2y + (0.48x + -2.1y) = 0 Reorder the terms: 16x + 0.48x + -3.2y + -2.1y = 0 Combine like terms: 16x + 0.48x = 16.48x 16.48x + -3.2y + -2.1y = 0 Combine like terms: -3.2y + -2.1y = -5.3y 16.48x + -5.3y = 0 Solving 16.48x + -5.3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.3y' to each side of the equation. 16.48x + -5.3y + 5.3y = 0 + 5.3y Combine like terms: -5.3y + 5.3y = 0.0 16.48x + 0.0 = 0 + 5.3y 16.48x = 0 + 5.3y Remove the zero: 16.48x = 5.3y Divide each side by '16.48'. x = 0.3216019417y Simplifying x = 0.3216019417y
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