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Simplifying (2x + -3y + 4z) + (9x + -8y + 7z) = 0 Remove parenthesis around (2x + -3y + 4z) 2x + -3y + 4z + (9x + -8y + 7z) = 0 Remove parenthesis around (9x + -8y + 7z) 2x + -3y + 4z + 9x + -8y + 7z = 0 Reorder the terms: 2x + 9x + -3y + -8y + 4z + 7z = 0 Combine like terms: 2x + 9x = 11x 11x + -3y + -8y + 4z + 7z = 0 Combine like terms: -3y + -8y = -11y 11x + -11y + 4z + 7z = 0 Combine like terms: 4z + 7z = 11z 11x + -11y + 11z = 0 Solving 11x + -11y + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 11x + -11y + 11y + 11z = 0 + 11y Combine like terms: -11y + 11y = 0 11x + 0 + 11z = 0 + 11y 11x + 11z = 0 + 11y Remove the zero: 11x + 11z = 11y Add '-11z' to each side of the equation. 11x + 11z + -11z = 11y + -11z Combine like terms: 11z + -11z = 0 11x + 0 = 11y + -11z 11x = 11y + -11z Divide each side by '11'. x = y + -1z Simplifying x = y + -1z
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