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Simplifying 2 + -2x + -3y + -7z = 0 Solving 2 + -2x + -3y + -7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2x + -3y + -2 + -7z = 0 + -2 Reorder the terms: 2 + -2 + -2x + -3y + -7z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + -3y + -7z = 0 + -2 -2x + -3y + -7z = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + -3y + -7z = -2 Add '3y' to each side of the equation. -2x + -3y + 3y + -7z = -2 + 3y Combine like terms: -3y + 3y = 0 -2x + 0 + -7z = -2 + 3y -2x + -7z = -2 + 3y Add '7z' to each side of the equation. -2x + -7z + 7z = -2 + 3y + 7z Combine like terms: -7z + 7z = 0 -2x + 0 = -2 + 3y + 7z -2x = -2 + 3y + 7z Divide each side by '-2'. x = 1 + -1.5y + -3.5z Simplifying x = 1 + -1.5y + -3.5z
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