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Simplifying 8(x + y) + -3(4x + -4y) = 0 (x * 8 + y * 8) + -3(4x + -4y) = 0 (8x + 8y) + -3(4x + -4y) = 0 8x + 8y + (4x * -3 + -4y * -3) = 0 8x + 8y + (-12x + 12y) = 0 Reorder the terms: 8x + -12x + 8y + 12y = 0 Combine like terms: 8x + -12x = -4x -4x + 8y + 12y = 0 Combine like terms: 8y + 12y = 20y -4x + 20y = 0 Solving -4x + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. -4x + 20y + -20y = 0 + -20y Combine like terms: 20y + -20y = 0 -4x + 0 = 0 + -20y -4x = 0 + -20y Remove the zero: -4x = -20y Divide each side by '-4'. x = 5y Simplifying x = 5y
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