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Simplifying 1.2(7x + -5y) + -1(10y + -4.3x) = 0 (7x * 1.2 + -5y * 1.2) + -1(10y + -4.3x) = 0 (8.4x + -6y) + -1(10y + -4.3x) = 0 Reorder the terms: 8.4x + -6y + -1(-4.3x + 10y) = 0 8.4x + -6y + (-4.3x * -1 + 10y * -1) = 0 8.4x + -6y + (4.3x + -10y) = 0 Reorder the terms: 8.4x + 4.3x + -6y + -10y = 0 Combine like terms: 8.4x + 4.3x = 12.7x 12.7x + -6y + -10y = 0 Combine like terms: -6y + -10y = -16y 12.7x + -16y = 0 Solving 12.7x + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16y' to each side of the equation. 12.7x + -16y + 16y = 0 + 16y Combine like terms: -16y + 16y = 0 12.7x + 0 = 0 + 16y 12.7x = 0 + 16y Remove the zero: 12.7x = 16y Divide each side by '12.7'. x = 1.25984252y Simplifying x = 1.25984252y
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