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Simplifying -5(4x + -18z + 12) = 0 Reorder the terms: -5(12 + 4x + -18z) = 0 (12 * -5 + 4x * -5 + -18z * -5) = 0 (-60 + -20x + 90z) = 0 Solving -60 + -20x + 90z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -20x + 60 + 90z = 0 + 60 Reorder the terms: -60 + 60 + -20x + 90z = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -20x + 90z = 0 + 60 -20x + 90z = 0 + 60 Combine like terms: 0 + 60 = 60 -20x + 90z = 60 Add '-90z' to each side of the equation. -20x + 90z + -90z = 60 + -90z Combine like terms: 90z + -90z = 0 -20x + 0 = 60 + -90z -20x = 60 + -90z Divide each side by '-20'. x = -3 + 4.5z Simplifying x = -3 + 4.5z
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