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Simplifying 5x + -1[3 + -2(x + -1)] = 5x + 1 Reorder the terms: 5x + -1[3 + -2(-1 + x)] = 5x + 1 5x + -1[3 + (-1 * -2 + x * -2)] = 5x + 1 5x + -1[3 + (2 + -2x)] = 5x + 1 Combine like terms: 3 + 2 = 5 5x + -1[5 + -2x] = 5x + 1 5x + [5 * -1 + -2x * -1] = 5x + 1 5x + [-5 + 2x] = 5x + 1 Reorder the terms: -5 + 5x + 2x = 5x + 1 Combine like terms: 5x + 2x = 7x -5 + 7x = 5x + 1 Reorder the terms: -5 + 7x = 1 + 5x Solving -5 + 7x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 7x + -5x = 1 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = 1 + 0 -5 + 2x = 1 Add '5' to each side of the equation. -5 + 5 + 2x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 1 + 5 2x = 1 + 5 Combine like terms: 1 + 5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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