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Simplifying 3(3 + 3x + -1z) = 2x + 2z + -6 (3 * 3 + 3x * 3 + -1z * 3) = 2x + 2z + -6 (9 + 9x + -3z) = 2x + 2z + -6 Reorder the terms: 9 + 9x + -3z = -6 + 2x + 2z Solving 9 + 9x + -3z = -6 + 2x + 2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 9x + -2x + -3z = -6 + 2x + -2x + 2z Combine like terms: 9x + -2x = 7x 9 + 7x + -3z = -6 + 2x + -2x + 2z Combine like terms: 2x + -2x = 0 9 + 7x + -3z = -6 + 0 + 2z 9 + 7x + -3z = -6 + 2z Add '-9' to each side of the equation. 9 + 7x + -9 + -3z = -6 + -9 + 2z Reorder the terms: 9 + -9 + 7x + -3z = -6 + -9 + 2z Combine like terms: 9 + -9 = 0 0 + 7x + -3z = -6 + -9 + 2z 7x + -3z = -6 + -9 + 2z Combine like terms: -6 + -9 = -15 7x + -3z = -15 + 2z Add '3z' to each side of the equation. 7x + -3z + 3z = -15 + 2z + 3z Combine like terms: -3z + 3z = 0 7x + 0 = -15 + 2z + 3z 7x = -15 + 2z + 3z Combine like terms: 2z + 3z = 5z 7x = -15 + 5z Divide each side by '7'. x = -2.142857143 + 0.7142857143z Simplifying x = -2.142857143 + 0.7142857143z
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