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Simplifying -2(3x + -4) + -2(z + -3) = 0 Reorder the terms: -2(-4 + 3x) + -2(z + -3) = 0 (-4 * -2 + 3x * -2) + -2(z + -3) = 0 (8 + -6x) + -2(z + -3) = 0 Reorder the terms: 8 + -6x + -2(-3 + z) = 0 8 + -6x + (-3 * -2 + z * -2) = 0 8 + -6x + (6 + -2z) = 0 Reorder the terms: 8 + 6 + -6x + -2z = 0 Combine like terms: 8 + 6 = 14 14 + -6x + -2z = 0 Solving 14 + -6x + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -6x + -14 + -2z = 0 + -14 Reorder the terms: 14 + -14 + -6x + -2z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6x + -2z = 0 + -14 -6x + -2z = 0 + -14 Combine like terms: 0 + -14 = -14 -6x + -2z = -14 Add '2z' to each side of the equation. -6x + -2z + 2z = -14 + 2z Combine like terms: -2z + 2z = 0 -6x + 0 = -14 + 2z -6x = -14 + 2z Divide each side by '-6'. x = 2.333333333 + -0.3333333333z Simplifying x = 2.333333333 + -0.3333333333z
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