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Simplifying (2x + 4y + -3z) + -1(3x + -9y + 10z) = 0 Remove parenthesis around (2x + 4y + -3z) 2x + 4y + -3z + -1(3x + -9y + 10z) = 0 2x + 4y + -3z + (3x * -1 + -9y * -1 + 10z * -1) = 0 2x + 4y + -3z + (-3x + 9y + -10z) = 0 Reorder the terms: 2x + -3x + 4y + 9y + -3z + -10z = 0 Combine like terms: 2x + -3x = -1x -1x + 4y + 9y + -3z + -10z = 0 Combine like terms: 4y + 9y = 13y -1x + 13y + -3z + -10z = 0 Combine like terms: -3z + -10z = -13z -1x + 13y + -13z = 0 Solving -1x + 13y + -13z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. -1x + 13y + -13y + -13z = 0 + -13y Combine like terms: 13y + -13y = 0 -1x + 0 + -13z = 0 + -13y -1x + -13z = 0 + -13y Remove the zero: -1x + -13z = -13y Add '13z' to each side of the equation. -1x + -13z + 13z = -13y + 13z Combine like terms: -13z + 13z = 0 -1x + 0 = -13y + 13z -1x = -13y + 13z Divide each side by '-1'. x = 13y + -13z Simplifying x = 13y + -13z
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