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Simplifying 5 + 7y + 8z + -2x + 3y + 5 + -1z = 0 Reorder the terms: 5 + 5 + -2x + 7y + 3y + 8z + -1z = 0 Combine like terms: 5 + 5 = 10 10 + -2x + 7y + 3y + 8z + -1z = 0 Combine like terms: 7y + 3y = 10y 10 + -2x + 10y + 8z + -1z = 0 Combine like terms: 8z + -1z = 7z 10 + -2x + 10y + 7z = 0 Solving 10 + -2x + 10y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2x + 10y + -10 + 7z = 0 + -10 Reorder the terms: 10 + -10 + -2x + 10y + 7z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x + 10y + 7z = 0 + -10 -2x + 10y + 7z = 0 + -10 Combine like terms: 0 + -10 = -10 -2x + 10y + 7z = -10 Add '-10y' to each side of the equation. -2x + 10y + -10y + 7z = -10 + -10y Combine like terms: 10y + -10y = 0 -2x + 0 + 7z = -10 + -10y -2x + 7z = -10 + -10y Add '-7z' to each side of the equation. -2x + 7z + -7z = -10 + -10y + -7z Combine like terms: 7z + -7z = 0 -2x + 0 = -10 + -10y + -7z -2x = -10 + -10y + -7z Divide each side by '-2'. x = 5 + 5y + 3.5z Simplifying x = 5 + 5y + 3.5z
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