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Simplifying (9x + -5y + 4z) + -1(7x + 8y + -2z + 3) = 0 Remove parenthesis around (9x + -5y + 4z) 9x + -5y + 4z + -1(7x + 8y + -2z + 3) = 0 Reorder the terms: 9x + -5y + 4z + -1(3 + 7x + 8y + -2z) = 0 9x + -5y + 4z + (3 * -1 + 7x * -1 + 8y * -1 + -2z * -1) = 0 9x + -5y + 4z + (-3 + -7x + -8y + 2z) = 0 Reorder the terms: -3 + 9x + -7x + -5y + -8y + 4z + 2z = 0 Combine like terms: 9x + -7x = 2x -3 + 2x + -5y + -8y + 4z + 2z = 0 Combine like terms: -5y + -8y = -13y -3 + 2x + -13y + 4z + 2z = 0 Combine like terms: 4z + 2z = 6z -3 + 2x + -13y + 6z = 0 Solving -3 + 2x + -13y + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2x + -13y + 3 + 6z = 0 + 3 Reorder the terms: -3 + 3 + 2x + -13y + 6z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x + -13y + 6z = 0 + 3 2x + -13y + 6z = 0 + 3 Combine like terms: 0 + 3 = 3 2x + -13y + 6z = 3 Add '13y' to each side of the equation. 2x + -13y + 13y + 6z = 3 + 13y Combine like terms: -13y + 13y = 0 2x + 0 + 6z = 3 + 13y 2x + 6z = 3 + 13y Add '-6z' to each side of the equation. 2x + 6z + -6z = 3 + 13y + -6z Combine like terms: 6z + -6z = 0 2x + 0 = 3 + 13y + -6z 2x = 3 + 13y + -6z Divide each side by '2'. x = 1.5 + 6.5y + -3z Simplifying x = 1.5 + 6.5y + -3z
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