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Simplifying 8(4x + 1) = 5(2z + 1) Reorder the terms: 8(1 + 4x) = 5(2z + 1) (1 * 8 + 4x * 8) = 5(2z + 1) (8 + 32x) = 5(2z + 1) Reorder the terms: 8 + 32x = 5(1 + 2z) 8 + 32x = (1 * 5 + 2z * 5) 8 + 32x = (5 + 10z) Solving 8 + 32x = 5 + 10z 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 + 32x = 5 + -8 + 10z Combine like terms: 8 + -8 = 0 0 + 32x = 5 + -8 + 10z 32x = 5 + -8 + 10z Combine like terms: 5 + -8 = -3 32x = -3 + 10z Divide each side by '32'. x = -0.09375 + 0.3125z Simplifying x = -0.09375 + 0.3125z
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