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Simplifying (5x + 2y) + (3x + 4y + 8z) = 0 Remove parenthesis around (5x + 2y) 5x + 2y + (3x + 4y + 8z) = 0 Remove parenthesis around (3x + 4y + 8z) 5x + 2y + 3x + 4y + 8z = 0 Reorder the terms: 5x + 3x + 2y + 4y + 8z = 0 Combine like terms: 5x + 3x = 8x 8x + 2y + 4y + 8z = 0 Combine like terms: 2y + 4y = 6y 8x + 6y + 8z = 0 Solving 8x + 6y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 8x + 6y + -6y + 8z = 0 + -6y Combine like terms: 6y + -6y = 0 8x + 0 + 8z = 0 + -6y 8x + 8z = 0 + -6y Remove the zero: 8x + 8z = -6y Add '-8z' to each side of the equation. 8x + 8z + -8z = -6y + -8z Combine like terms: 8z + -8z = 0 8x + 0 = -6y + -8z 8x = -6y + -8z Divide each side by '8'. x = -0.75y + -1z Simplifying x = -0.75y + -1z
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