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Simplifying 5(x + z) + -7 = 5x + 3 (x * 5 + z * 5) + -7 = 5x + 3 (5x + 5z) + -7 = 5x + 3 Reorder the terms: -7 + 5x + 5z = 5x + 3 Reorder the terms: -7 + 5x + 5z = 3 + 5x Add '-5x' to each side of the equation. -7 + 5x + -5x + 5z = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 0 + 5z = 3 + 5x + -5x -7 + 5z = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 5z = 3 + 0 -7 + 5z = 3 Solving -7 + 5z = 3 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5z = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 5z = 3 + 7 5z = 3 + 7 Combine like terms: 3 + 7 = 10 5z = 10 Divide each side by '5'. z = 2 Simplifying z = 2
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