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Simplifying 3.5(1.4x + -7.8y) + -2.9(4.6y + -3.1x) + 8y = 0 (1.4x * 3.5 + -7.8y * 3.5) + -2.9(4.6y + -3.1x) + 8y = 0 (4.9x + -27.3y) + -2.9(4.6y + -3.1x) + 8y = 0 Reorder the terms: 4.9x + -27.3y + -2.9(-3.1x + 4.6y) + 8y = 0 4.9x + -27.3y + (-3.1x * -2.9 + 4.6y * -2.9) + 8y = 0 4.9x + -27.3y + (8.99x + -13.34y) + 8y = 0 Reorder the terms: 4.9x + 8.99x + -27.3y + -13.34y + 8y = 0 Combine like terms: 4.9x + 8.99x = 13.89x 13.89x + -27.3y + -13.34y + 8y = 0 Combine like terms: -27.3y + -13.34y = -40.64y 13.89x + -40.64y + 8y = 0 Combine like terms: -40.64y + 8y = -32.64y 13.89x + -32.64y = 0 Solving 13.89x + -32.64y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32.64y' to each side of the equation. 13.89x + -32.64y + 32.64y = 0 + 32.64y Combine like terms: -32.64y + 32.64y = 0.00 13.89x + 0.00 = 0 + 32.64y 13.89x = 0 + 32.64y Remove the zero: 13.89x = 32.64y Divide each side by '13.89'. x = 2.349892009y Simplifying x = 2.349892009y
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