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Simplifying 50x + 60y + 80z = 68(x + y + z) 50x + 60y + 80z = (x * 68 + y * 68 + z * 68) 50x + 60y + 80z = (68x + 68y + 68z) Solving 50x + 60y + 80z = 68x + 68y + 68z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. 50x + 60y + -68x + 80z = 68x + 68y + -68x + 68z Reorder the terms: 50x + -68x + 60y + 80z = 68x + 68y + -68x + 68z Combine like terms: 50x + -68x = -18x -18x + 60y + 80z = 68x + 68y + -68x + 68z Reorder the terms: -18x + 60y + 80z = 68x + -68x + 68y + 68z Combine like terms: 68x + -68x = 0 -18x + 60y + 80z = 0 + 68y + 68z -18x + 60y + 80z = 68y + 68z Add '-60y' to each side of the equation. -18x + 60y + -60y + 80z = 68y + -60y + 68z Combine like terms: 60y + -60y = 0 -18x + 0 + 80z = 68y + -60y + 68z -18x + 80z = 68y + -60y + 68z Combine like terms: 68y + -60y = 8y -18x + 80z = 8y + 68z Add '-80z' to each side of the equation. -18x + 80z + -80z = 8y + 68z + -80z Combine like terms: 80z + -80z = 0 -18x + 0 = 8y + 68z + -80z -18x = 8y + 68z + -80z Combine like terms: 68z + -80z = -12z -18x = 8y + -12z Divide each side by '-18'. x = -0.4444444444y + 0.6666666667z Simplifying x = -0.4444444444y + 0.6666666667z
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