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Simplifying 2(5 + -2x) = 20 + -2(z + -1) (5 * 2 + -2x * 2) = 20 + -2(z + -1) (10 + -4x) = 20 + -2(z + -1) Reorder the terms: 10 + -4x = 20 + -2(-1 + z) 10 + -4x = 20 + (-1 * -2 + z * -2) 10 + -4x = 20 + (2 + -2z) Combine like terms: 20 + 2 = 22 10 + -4x = 22 + -2z Solving 10 + -4x = 22 + -2z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4x = 22 + -10 + -2z Combine like terms: 10 + -10 = 0 0 + -4x = 22 + -10 + -2z -4x = 22 + -10 + -2z Combine like terms: 22 + -10 = 12 -4x = 12 + -2z Divide each side by '-4'. x = -3 + 0.5z Simplifying x = -3 + 0.5z
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