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Simplifying 0.2(15x + -5) = 4(4z + 1) Reorder the terms: 0.2(-5 + 15x) = 4(4z + 1) (-5 * 0.2 + 15x * 0.2) = 4(4z + 1) (-1 + 3x) = 4(4z + 1) Reorder the terms: -1 + 3x = 4(1 + 4z) -1 + 3x = (1 * 4 + 4z * 4) -1 + 3x = (4 + 16z) Solving -1 + 3x = 4 + 16z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 4 + 1 + 16z Combine like terms: -1 + 1 = 0 0 + 3x = 4 + 1 + 16z 3x = 4 + 1 + 16z Combine like terms: 4 + 1 = 5 3x = 5 + 16z Divide each side by '3'. x = 1.666666667 + 5.333333333z Simplifying x = 1.666666667 + 5.333333333z
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