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