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Simplifying 7(z + 3) = 5(5 + 4x) + -13x Reorder the terms: 7(3 + z) = 5(5 + 4x) + -13x (3 * 7 + z * 7) = 5(5 + 4x) + -13x (21 + 7z) = 5(5 + 4x) + -13x 21 + 7z = (5 * 5 + 4x * 5) + -13x 21 + 7z = (25 + 20x) + -13x Combine like terms: 20x + -13x = 7x 21 + 7z = 25 + 7x Solving 21 + 7z = 25 + 7x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7z = 25 + -21 + 7x Combine like terms: 21 + -21 = 0 0 + 7z = 25 + -21 + 7x 7z = 25 + -21 + 7x Combine like terms: 25 + -21 = 4 7z = 4 + 7x Divide each side by '7'. z = 0.5714285714 + x Simplifying z = 0.5714285714 + x
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