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Simplifying -1[3z + -1(8x + 4)] = 4 + (4z + 2) Reorder the terms: -1[3z + -1(4 + 8x)] = 4 + (4z + 2) -1[3z + (4 * -1 + 8x * -1)] = 4 + (4z + 2) -1[3z + (-4 + -8x)] = 4 + (4z + 2) Reorder the terms: -1[-4 + -8x + 3z] = 4 + (4z + 2) [-4 * -1 + -8x * -1 + 3z * -1] = 4 + (4z + 2) [4 + 8x + -3z] = 4 + (4z + 2) Reorder the terms: 4 + 8x + -3z = 4 + (2 + 4z) Remove parenthesis around (2 + 4z) 4 + 8x + -3z = 4 + 2 + 4z Combine like terms: 4 + 2 = 6 4 + 8x + -3z = 6 + 4z Solving 4 + 8x + -3z = 6 + 4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8x + -4 + -3z = 6 + -4 + 4z Reorder the terms: 4 + -4 + 8x + -3z = 6 + -4 + 4z Combine like terms: 4 + -4 = 0 0 + 8x + -3z = 6 + -4 + 4z 8x + -3z = 6 + -4 + 4z Combine like terms: 6 + -4 = 2 8x + -3z = 2 + 4z Add '3z' to each side of the equation. 8x + -3z + 3z = 2 + 4z + 3z Combine like terms: -3z + 3z = 0 8x + 0 = 2 + 4z + 3z 8x = 2 + 4z + 3z Combine like terms: 4z + 3z = 7z 8x = 2 + 7z Divide each side by '8'. x = 0.25 + 0.875z Simplifying x = 0.25 + 0.875z
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