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Simplifying 6(4x + y) + -7(3x + 5y) = 0 (4x * 6 + y * 6) + -7(3x + 5y) = 0 (24x + 6y) + -7(3x + 5y) = 0 24x + 6y + (3x * -7 + 5y * -7) = 0 24x + 6y + (-21x + -35y) = 0 Reorder the terms: 24x + -21x + 6y + -35y = 0 Combine like terms: 24x + -21x = 3x 3x + 6y + -35y = 0 Combine like terms: 6y + -35y = -29y 3x + -29y = 0 Solving 3x + -29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29y' to each side of the equation. 3x + -29y + 29y = 0 + 29y Combine like terms: -29y + 29y = 0 3x + 0 = 0 + 29y 3x = 0 + 29y Remove the zero: 3x = 29y Divide each side by '3'. x = 9.666666667y Simplifying x = 9.666666667y
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