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