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Simplifying 5 + 2[x + -2(x + -1)] = 1 Reorder the terms: 5 + 2[x + -2(-1 + x)] = 1 5 + 2[x + (-1 * -2 + x * -2)] = 1 5 + 2[x + (2 + -2x)] = 1 Reorder the terms: 5 + 2[2 + x + -2x] = 1 Combine like terms: x + -2x = -1x 5 + 2[2 + -1x] = 1 5 + [2 * 2 + -1x * 2] = 1 5 + [4 + -2x] = 1 Combine like terms: 5 + 4 = 9 9 + -2x = 1 Solving 9 + -2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 1 + -9 -2x = 1 + -9 Combine like terms: 1 + -9 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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