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Simplifying 3(3x + -2) + -4x + 3z = 0 Reorder the terms: 3(-2 + 3x) + -4x + 3z = 0 (-2 * 3 + 3x * 3) + -4x + 3z = 0 (-6 + 9x) + -4x + 3z = 0 Combine like terms: 9x + -4x = 5x -6 + 5x + 3z = 0 Solving -6 + 5x + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5x + 6 + 3z = 0 + 6 Reorder the terms: -6 + 6 + 5x + 3z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x + 3z = 0 + 6 5x + 3z = 0 + 6 Combine like terms: 0 + 6 = 6 5x + 3z = 6 Add '-3z' to each side of the equation. 5x + 3z + -3z = 6 + -3z Combine like terms: 3z + -3z = 0 5x + 0 = 6 + -3z 5x = 6 + -3z Divide each side by '5'. x = 1.2 + -0.6z Simplifying x = 1.2 + -0.6z
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