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Simplifying 12x + 4y + -17x + 2y + 8z + 15 = 0 Reorder the terms: 15 + 12x + -17x + 4y + 2y + 8z = 0 Combine like terms: 12x + -17x = -5x 15 + -5x + 4y + 2y + 8z = 0 Combine like terms: 4y + 2y = 6y 15 + -5x + 6y + 8z = 0 Solving 15 + -5x + 6y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -5x + 6y + -15 + 8z = 0 + -15 Reorder the terms: 15 + -15 + -5x + 6y + 8z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5x + 6y + 8z = 0 + -15 -5x + 6y + 8z = 0 + -15 Combine like terms: 0 + -15 = -15 -5x + 6y + 8z = -15 Add '-6y' to each side of the equation. -5x + 6y + -6y + 8z = -15 + -6y Combine like terms: 6y + -6y = 0 -5x + 0 + 8z = -15 + -6y -5x + 8z = -15 + -6y Add '-8z' to each side of the equation. -5x + 8z + -8z = -15 + -6y + -8z Combine like terms: 8z + -8z = 0 -5x + 0 = -15 + -6y + -8z -5x = -15 + -6y + -8z Divide each side by '-5'. x = 3 + 1.2y + 1.6z Simplifying x = 3 + 1.2y + 1.6z
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