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Simplifying (51x + 56y) + -1(30x + -24y) = 0 Remove parenthesis around (51x + 56y) 51x + 56y + -1(30x + -24y) = 0 51x + 56y + (30x * -1 + -24y * -1) = 0 51x + 56y + (-30x + 24y) = 0 Reorder the terms: 51x + -30x + 56y + 24y = 0 Combine like terms: 51x + -30x = 21x 21x + 56y + 24y = 0 Combine like terms: 56y + 24y = 80y 21x + 80y = 0 Solving 21x + 80y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80y' to each side of the equation. 21x + 80y + -80y = 0 + -80y Combine like terms: 80y + -80y = 0 21x + 0 = 0 + -80y 21x = 0 + -80y Remove the zero: 21x = -80y Divide each side by '21'. x = -3.80952381y Simplifying x = -3.80952381y
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