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Simplifying 5(z + 1) = 2(3 + -2x) + 17 Reorder the terms: 5(1 + z) = 2(3 + -2x) + 17 (1 * 5 + z * 5) = 2(3 + -2x) + 17 (5 + 5z) = 2(3 + -2x) + 17 5 + 5z = (3 * 2 + -2x * 2) + 17 5 + 5z = (6 + -4x) + 17 Reorder the terms: 5 + 5z = 6 + 17 + -4x Combine like terms: 6 + 17 = 23 5 + 5z = 23 + -4x Solving 5 + 5z = 23 + -4x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5z = 23 + -5 + -4x Combine like terms: 5 + -5 = 0 0 + 5z = 23 + -5 + -4x 5z = 23 + -5 + -4x Combine like terms: 23 + -5 = 18 5z = 18 + -4x Divide each side by '5'. z = 3.6 + -0.8x Simplifying z = 3.6 + -0.8x
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