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Simplifying -5x + -5(2 + -1x) = 2(z + -7) -5x + (2 * -5 + -1x * -5) = 2(z + -7) -5x + (-10 + 5x) = 2(z + -7) Reorder the terms: -10 + -5x + 5x = 2(z + -7) Combine like terms: -5x + 5x = 0 -10 + 0 = 2(z + -7) -10 = 2(z + -7) Reorder the terms: -10 = 2(-7 + z) -10 = (-7 * 2 + z * 2) -10 = (-14 + 2z) Solving -10 = -14 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -10 + -2z = -14 + 2z + -2z Combine like terms: 2z + -2z = 0 -10 + -2z = -14 + 0 -10 + -2z = -14 Add '10' to each side of the equation. -10 + 10 + -2z = -14 + 10 Combine like terms: -10 + 10 = 0 0 + -2z = -14 + 10 -2z = -14 + 10 Combine like terms: -14 + 10 = -4 -2z = -4 Divide each side by '-2'. z = 2 Simplifying z = 2
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