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Simplifying 5(3x + -2y) + -1(x + 6y) = 0 (3x * 5 + -2y * 5) + -1(x + 6y) = 0 (15x + -10y) + -1(x + 6y) = 0 15x + -10y + (x * -1 + 6y * -1) = 0 15x + -10y + (-1x + -6y) = 0 Reorder the terms: 15x + -1x + -10y + -6y = 0 Combine like terms: 15x + -1x = 14x 14x + -10y + -6y = 0 Combine like terms: -10y + -6y = -16y 14x + -16y = 0 Solving 14x + -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. 14x + -16y + 16y = 0 + 16y Combine like terms: -16y + 16y = 0 14x + 0 = 0 + 16y 14x = 0 + 16y Remove the zero: 14x = 16y Divide each side by '14'. x = 1.142857143y Simplifying x = 1.142857143y
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