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Simplifying 6 + -1(3x + -4) = 1 + -4z Reorder the terms: 6 + -1(-4 + 3x) = 1 + -4z 6 + (-4 * -1 + 3x * -1) = 1 + -4z 6 + (4 + -3x) = 1 + -4z Combine like terms: 6 + 4 = 10 10 + -3x = 1 + -4z Solving 10 + -3x = 1 + -4z 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 + -3x = 1 + -10 + -4z Combine like terms: 10 + -10 = 0 0 + -3x = 1 + -10 + -4z -3x = 1 + -10 + -4z Combine like terms: 1 + -10 = -9 -3x = -9 + -4z Divide each side by '-3'. x = 3 + 1.333333333z Simplifying x = 3 + 1.333333333z
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