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Simplifying 5x + -1 + -1[1 + -2(x + -1)] = 3[1 + (2x + -3)] Reorder the terms: 5x + -1 + -1[1 + -2(-1 + x)] = 3[1 + (2x + -3)] 5x + -1 + -1[1 + (-1 * -2 + x * -2)] = 3[1 + (2x + -3)] 5x + -1 + -1[1 + (2 + -2x)] = 3[1 + (2x + -3)] Combine like terms: 1 + 2 = 3 5x + -1 + -1[3 + -2x] = 3[1 + (2x + -3)] 5x + -1 + [3 * -1 + -2x * -1] = 3[1 + (2x + -3)] 5x + -1 + [-3 + 2x] = 3[1 + (2x + -3)] Reorder the terms: -1 + -3 + 5x + 2x = 3[1 + (2x + -3)] Combine like terms: -1 + -3 = -4 -4 + 5x + 2x = 3[1 + (2x + -3)] Combine like terms: 5x + 2x = 7x -4 + 7x = 3[1 + (2x + -3)] Reorder the terms: -4 + 7x = 3[1 + (-3 + 2x)] Remove parenthesis around (-3 + 2x) -4 + 7x = 3[1 + -3 + 2x] Combine like terms: 1 + -3 = -2 -4 + 7x = 3[-2 + 2x] -4 + 7x = [-2 * 3 + 2x * 3] -4 + 7x = [-6 + 6x] Solving -4 + 7x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 7x + -6x = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x -4 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 1x = -6 + 0 -4 + 1x = -6 Add '4' to each side of the equation. -4 + 4 + 1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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