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Simplifying (2x + 3y + -4) + -1(5x + 3y + -6z + -2) = 0 Reorder the terms: (-4 + 2x + 3y) + -1(5x + 3y + -6z + -2) = 0 Remove parenthesis around (-4 + 2x + 3y) -4 + 2x + 3y + -1(5x + 3y + -6z + -2) = 0 Reorder the terms: -4 + 2x + 3y + -1(-2 + 5x + 3y + -6z) = 0 -4 + 2x + 3y + (-2 * -1 + 5x * -1 + 3y * -1 + -6z * -1) = 0 -4 + 2x + 3y + (2 + -5x + -3y + 6z) = 0 Reorder the terms: -4 + 2 + 2x + -5x + 3y + -3y + 6z = 0 Combine like terms: -4 + 2 = -2 -2 + 2x + -5x + 3y + -3y + 6z = 0 Combine like terms: 2x + -5x = -3x -2 + -3x + 3y + -3y + 6z = 0 Combine like terms: 3y + -3y = 0 -2 + -3x + 0 + 6z = 0 -2 + -3x + 6z = 0 Solving -2 + -3x + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3x + 2 + 6z = 0 + 2 Reorder the terms: -2 + 2 + -3x + 6z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x + 6z = 0 + 2 -3x + 6z = 0 + 2 Combine like terms: 0 + 2 = 2 -3x + 6z = 2 Add '-6z' to each side of the equation. -3x + 6z + -6z = 2 + -6z Combine like terms: 6z + -6z = 0 -3x + 0 = 2 + -6z -3x = 2 + -6z Divide each side by '-3'. x = -0.6666666667 + 2z Simplifying x = -0.6666666667 + 2z
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