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Simplifying (3z + 2x) + -5(x + y) = 0 Reorder the terms: (2x + 3z) + -5(x + y) = 0 Remove parenthesis around (2x + 3z) 2x + 3z + -5(x + y) = 0 2x + 3z + (x * -5 + y * -5) = 0 2x + 3z + (-5x + -5y) = 0 Reorder the terms: 2x + -5x + -5y + 3z = 0 Combine like terms: 2x + -5x = -3x -3x + -5y + 3z = 0 Solving -3x + -5y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. -3x + -5y + 5y + 3z = 0 + 5y Combine like terms: -5y + 5y = 0 -3x + 0 + 3z = 0 + 5y -3x + 3z = 0 + 5y Remove the zero: -3x + 3z = 5y Add '-3z' to each side of the equation. -3x + 3z + -3z = 5y + -3z Combine like terms: 3z + -3z = 0 -3x + 0 = 5y + -3z -3x = 5y + -3z Divide each side by '-3'. x = -1.666666667y + z Simplifying x = -1.666666667y + z
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