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Simplifying (32x + -28y) + 7(9y + -3x) = 0 Remove parenthesis around (32x + -28y) 32x + -28y + 7(9y + -3x) = 0 Reorder the terms: 32x + -28y + 7(-3x + 9y) = 0 32x + -28y + (-3x * 7 + 9y * 7) = 0 32x + -28y + (-21x + 63y) = 0 Reorder the terms: 32x + -21x + -28y + 63y = 0 Combine like terms: 32x + -21x = 11x 11x + -28y + 63y = 0 Combine like terms: -28y + 63y = 35y 11x + 35y = 0 Solving 11x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35y' to each side of the equation. 11x + 35y + -35y = 0 + -35y Combine like terms: 35y + -35y = 0 11x + 0 = 0 + -35y 11x = 0 + -35y Remove the zero: 11x = -35y Divide each side by '11'. x = -3.181818182y Simplifying x = -3.181818182y
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