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Simplifying 7x + 5 = 10(z + -7) Reorder the terms: 5 + 7x = 10(z + -7) Reorder the terms: 5 + 7x = 10(-7 + z) 5 + 7x = (-7 * 10 + z * 10) 5 + 7x = (-70 + 10z) Solving 5 + 7x = -70 + 10z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = -70 + -5 + 10z Combine like terms: 5 + -5 = 0 0 + 7x = -70 + -5 + 10z 7x = -70 + -5 + 10z Combine like terms: -70 + -5 = -75 7x = -75 + 10z Divide each side by '7'. x = -10.71428571 + 1.428571429z Simplifying x = -10.71428571 + 1.428571429z
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