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Simplifying 2(-3x + -4) = 5(1 + -1z) Reorder the terms: 2(-4 + -3x) = 5(1 + -1z) (-4 * 2 + -3x * 2) = 5(1 + -1z) (-8 + -6x) = 5(1 + -1z) -8 + -6x = (1 * 5 + -1z * 5) -8 + -6x = (5 + -5z) Solving -8 + -6x = 5 + -5z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6x = 5 + 8 + -5z Combine like terms: -8 + 8 = 0 0 + -6x = 5 + 8 + -5z -6x = 5 + 8 + -5z Combine like terms: 5 + 8 = 13 -6x = 13 + -5z Divide each side by '-6'. x = -2.166666667 + 0.8333333333z Simplifying x = -2.166666667 + 0.8333333333z
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