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Simplifying z + -5x = 7x + -9 + -1z Reorder the terms: -5x + z = 7x + -9 + -1z Reorder the terms: -5x + z = -9 + 7x + -1z Solving -5x + z = -9 + 7x + -1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5x + -7x + z = -9 + 7x + -7x + -1z Combine like terms: -5x + -7x = -12x -12x + z = -9 + 7x + -7x + -1z Combine like terms: 7x + -7x = 0 -12x + z = -9 + 0 + -1z -12x + z = -9 + -1z Add '-1z' to each side of the equation. -12x + z + -1z = -9 + -1z + -1z Combine like terms: z + -1z = 0 -12x + 0 = -9 + -1z + -1z -12x = -9 + -1z + -1z Combine like terms: -1z + -1z = -2z -12x = -9 + -2z Divide each side by '-12'. x = 0.75 + 0.1666666667z Simplifying x = 0.75 + 0.1666666667z
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