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Simplifying 5 + -2[3x + -1(x + -2)] = 1 + -1x Reorder the terms: 5 + -2[3x + -1(-2 + x)] = 1 + -1x 5 + -2[3x + (-2 * -1 + x * -1)] = 1 + -1x 5 + -2[3x + (2 + -1x)] = 1 + -1x Reorder the terms: 5 + -2[2 + 3x + -1x] = 1 + -1x Combine like terms: 3x + -1x = 2x 5 + -2[2 + 2x] = 1 + -1x 5 + [2 * -2 + 2x * -2] = 1 + -1x 5 + [-4 + -4x] = 1 + -1x Combine like terms: 5 + -4 = 1 1 + -4x = 1 + -1x Add '-1' to each side of the equation. 1 + -1 + -4x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 0 + -4x = 1 + -1 + -1x -4x = 1 + -1 + -1x Combine like terms: 1 + -1 = 0 -4x = 0 + -1x -4x = -1x Solving -4x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4x + x = -1x + x Combine like terms: -4x + x = -3x -3x = -1x + x Combine like terms: -1x + x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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