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Simplifying 2z + -1(3x + 5) = 2z + -11 Reorder the terms: 2z + -1(5 + 3x) = 2z + -11 2z + (5 * -1 + 3x * -1) = 2z + -11 2z + (-5 + -3x) = 2z + -11 Reorder the terms: -5 + -3x + 2z = 2z + -11 Reorder the terms: -5 + -3x + 2z = -11 + 2z Add '-2z' to each side of the equation. -5 + -3x + 2z + -2z = -11 + 2z + -2z Combine like terms: 2z + -2z = 0 -5 + -3x + 0 = -11 + 2z + -2z -5 + -3x = -11 + 2z + -2z Combine like terms: 2z + -2z = 0 -5 + -3x = -11 + 0 -5 + -3x = -11 Solving -5 + -3x = -11 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 + 5 + -3x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -11 + 5 -3x = -11 + 5 Combine like terms: -11 + 5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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