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Simplifying 2x + 2y + 3z + -6 = 0 Reorder the terms: -6 + 2x + 2y + 3z = 0 Solving -6 + 2x + 2y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2x + 2y + 6 + 3z = 0 + 6 Reorder the terms: -6 + 6 + 2x + 2y + 3z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2x + 2y + 3z = 0 + 6 2x + 2y + 3z = 0 + 6 Combine like terms: 0 + 6 = 6 2x + 2y + 3z = 6 Add '-2y' to each side of the equation. 2x + 2y + -2y + 3z = 6 + -2y Combine like terms: 2y + -2y = 0 2x + 0 + 3z = 6 + -2y 2x + 3z = 6 + -2y Add '-3z' to each side of the equation. 2x + 3z + -3z = 6 + -2y + -3z Combine like terms: 3z + -3z = 0 2x + 0 = 6 + -2y + -3z 2x = 6 + -2y + -3z Divide each side by '2'. x = 3 + -1y + -1.5z Simplifying x = 3 + -1y + -1.5z
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