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Simplifying 6(z + 2) + -2(2x + 5) = 18 Reorder the terms: 6(2 + z) + -2(2x + 5) = 18 (2 * 6 + z * 6) + -2(2x + 5) = 18 (12 + 6z) + -2(2x + 5) = 18 Reorder the terms: 12 + 6z + -2(5 + 2x) = 18 12 + 6z + (5 * -2 + 2x * -2) = 18 12 + 6z + (-10 + -4x) = 18 Reorder the terms: 12 + -10 + -4x + 6z = 18 Combine like terms: 12 + -10 = 2 2 + -4x + 6z = 18 Solving 2 + -4x + 6z = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -4x + -2 + 6z = 18 + -2 Reorder the terms: 2 + -2 + -4x + 6z = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -4x + 6z = 18 + -2 -4x + 6z = 18 + -2 Combine like terms: 18 + -2 = 16 -4x + 6z = 16 Add '-6z' to each side of the equation. -4x + 6z + -6z = 16 + -6z Combine like terms: 6z + -6z = 0 -4x + 0 = 16 + -6z -4x = 16 + -6z Divide each side by '-4'. x = -4 + 1.5z Simplifying x = -4 + 1.5z
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