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Simplifying 5 + -2(3x + 2) = -4(1 + -2z) Reorder the terms: 5 + -2(2 + 3x) = -4(1 + -2z) 5 + (2 * -2 + 3x * -2) = -4(1 + -2z) 5 + (-4 + -6x) = -4(1 + -2z) Combine like terms: 5 + -4 = 1 1 + -6x = -4(1 + -2z) 1 + -6x = (1 * -4 + -2z * -4) 1 + -6x = (-4 + 8z) Solving 1 + -6x = -4 + 8z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = -4 + -1 + 8z Combine like terms: 1 + -1 = 0 0 + -6x = -4 + -1 + 8z -6x = -4 + -1 + 8z Combine like terms: -4 + -1 = -5 -6x = -5 + 8z Divide each side by '-6'. x = 0.8333333333 + -1.333333333z Simplifying x = 0.8333333333 + -1.333333333z
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