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Simplifying 5 + -1(z + 3) = 7 + 2(x + -3) Reorder the terms: 5 + -1(3 + z) = 7 + 2(x + -3) 5 + (3 * -1 + z * -1) = 7 + 2(x + -3) 5 + (-3 + -1z) = 7 + 2(x + -3) Combine like terms: 5 + -3 = 2 2 + -1z = 7 + 2(x + -3) Reorder the terms: 2 + -1z = 7 + 2(-3 + x) 2 + -1z = 7 + (-3 * 2 + x * 2) 2 + -1z = 7 + (-6 + 2x) Combine like terms: 7 + -6 = 1 2 + -1z = 1 + 2x Solving 2 + -1z = 1 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1z = 1 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + -1z = 1 + -2 + 2x -1z = 1 + -2 + 2x Combine like terms: 1 + -2 = -1 -1z = -1 + 2x Divide each side by '-1'. z = 1 + -2x Simplifying z = 1 + -2x
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