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Simplifying 3x + 4y + -7x + 5z = 0 Reorder the terms: 3x + -7x + 4y + 5z = 0 Combine like terms: 3x + -7x = -4x -4x + 4y + 5z = 0 Solving -4x + 4y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -4x + 4y + -4y + 5z = 0 + -4y Combine like terms: 4y + -4y = 0 -4x + 0 + 5z = 0 + -4y -4x + 5z = 0 + -4y Remove the zero: -4x + 5z = -4y Add '-5z' to each side of the equation. -4x + 5z + -5z = -4y + -5z Combine like terms: 5z + -5z = 0 -4x + 0 = -4y + -5z -4x = -4y + -5z Divide each side by '-4'. x = y + 1.25z Simplifying x = y + 1.25z
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