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Simplifying 8(3x + -3y) + -4(8x + 3y) = 0 (3x * 8 + -3y * 8) + -4(8x + 3y) = 0 (24x + -24y) + -4(8x + 3y) = 0 24x + -24y + (8x * -4 + 3y * -4) = 0 24x + -24y + (-32x + -12y) = 0 Reorder the terms: 24x + -32x + -24y + -12y = 0 Combine like terms: 24x + -32x = -8x -8x + -24y + -12y = 0 Combine like terms: -24y + -12y = -36y -8x + -36y = 0 Solving -8x + -36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36y' to each side of the equation. -8x + -36y + 36y = 0 + 36y Combine like terms: -36y + 36y = 0 -8x + 0 = 0 + 36y -8x = 0 + 36y Remove the zero: -8x = 36y Divide each side by '-8'. x = -4.5y Simplifying x = -4.5y
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