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Simplifying 0.5(5 + -7x) = 8 + -1(4z + 6) (5 * 0.5 + -7x * 0.5) = 8 + -1(4z + 6) (2.5 + -3.5x) = 8 + -1(4z + 6) Reorder the terms: 2.5 + -3.5x = 8 + -1(6 + 4z) 2.5 + -3.5x = 8 + (6 * -1 + 4z * -1) 2.5 + -3.5x = 8 + (-6 + -4z) Combine like terms: 8 + -6 = 2 2.5 + -3.5x = 2 + -4z Solving 2.5 + -3.5x = 2 + -4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + -3.5x = 2 + -2.5 + -4z Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -3.5x = 2 + -2.5 + -4z -3.5x = 2 + -2.5 + -4z Combine like terms: 2 + -2.5 = -0.5 -3.5x = -0.5 + -4z Divide each side by '-3.5'. x = 0.1428571429 + 1.142857143z Simplifying x = 0.1428571429 + 1.142857143z
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