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Simplifying 2x + -5(z + 1) = 1 Reorder the terms: 2x + -5(1 + z) = 1 2x + (1 * -5 + z * -5) = 1 2x + (-5 + -5z) = 1 Reorder the terms: -5 + 2x + -5z = 1 Solving -5 + 2x + -5z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2x + 5 + -5z = 1 + 5 Reorder the terms: -5 + 5 + 2x + -5z = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x + -5z = 1 + 5 2x + -5z = 1 + 5 Combine like terms: 1 + 5 = 6 2x + -5z = 6 Add '5z' to each side of the equation. 2x + -5z + 5z = 6 + 5z Combine like terms: -5z + 5z = 0 2x + 0 = 6 + 5z 2x = 6 + 5z Divide each side by '2'. x = 3 + 2.5z Simplifying x = 3 + 2.5z
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