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Simplifying -0.5(4x + -18z + 12) = 0 Reorder the terms: -0.5(12 + 4x + -18z) = 0 (12 * -0.5 + 4x * -0.5 + -18z * -0.5) = 0 (-6 + -2x + 9z) = 0 Solving -6 + -2x + 9z = 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 + -2x + 6 + 9z = 0 + 6 Reorder the terms: -6 + 6 + -2x + 9z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2x + 9z = 0 + 6 -2x + 9z = 0 + 6 Combine like terms: 0 + 6 = 6 -2x + 9z = 6 Add '-9z' to each side of the equation. -2x + 9z + -9z = 6 + -9z Combine like terms: 9z + -9z = 0 -2x + 0 = 6 + -9z -2x = 6 + -9z Divide each side by '-2'. x = -3 + 4.5z Simplifying x = -3 + 4.5z
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