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Simplifying 2z + -5(3x + -9) = -33 Reorder the terms: 2z + -5(-9 + 3x) = -33 2z + (-9 * -5 + 3x * -5) = -33 2z + (45 + -15x) = -33 Reorder the terms: 45 + -15x + 2z = -33 Solving 45 + -15x + 2z = -33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -15x + -45 + 2z = -33 + -45 Reorder the terms: 45 + -45 + -15x + 2z = -33 + -45 Combine like terms: 45 + -45 = 0 0 + -15x + 2z = -33 + -45 -15x + 2z = -33 + -45 Combine like terms: -33 + -45 = -78 -15x + 2z = -78 Add '-2z' to each side of the equation. -15x + 2z + -2z = -78 + -2z Combine like terms: 2z + -2z = 0 -15x + 0 = -78 + -2z -15x = -78 + -2z Divide each side by '-15'. x = 5.2 + 0.1333333333z Simplifying x = 5.2 + 0.1333333333z
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