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Simplifying 3(x + y) + 17 = z (x * 3 + y * 3) + 17 = z (3x + 3y) + 17 = z Reorder the terms: 17 + 3x + 3y = z Solving 17 + 3x + 3y = z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 3x + -17 + 3y = -17 + z Reorder the terms: 17 + -17 + 3x + 3y = -17 + z Combine like terms: 17 + -17 = 0 0 + 3x + 3y = -17 + z 3x + 3y = -17 + z Add '-3y' to each side of the equation. 3x + 3y + -3y = -17 + -3y + z Combine like terms: 3y + -3y = 0 3x + 0 = -17 + -3y + z 3x = -17 + -3y + z Divide each side by '3'. x = -5.666666667 + -1y + 0.3333333333z Simplifying x = -5.666666667 + -1y + 0.3333333333z
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