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Simplifying 5x + 1 + -1[1 + 2(x + -1)] = 3[1 + -1(2x + -3)] Reorder the terms: 5x + 1 + -1[1 + 2(-1 + x)] = 3[1 + -1(2x + -3)] 5x + 1 + -1[1 + (-1 * 2 + x * 2)] = 3[1 + -1(2x + -3)] 5x + 1 + -1[1 + (-2 + 2x)] = 3[1 + -1(2x + -3)] Combine like terms: 1 + -2 = -1 5x + 1 + -1[-1 + 2x] = 3[1 + -1(2x + -3)] 5x + 1 + [-1 * -1 + 2x * -1] = 3[1 + -1(2x + -3)] 5x + 1 + [1 + -2x] = 3[1 + -1(2x + -3)] Reorder the terms: 1 + 1 + 5x + -2x = 3[1 + -1(2x + -3)] Combine like terms: 1 + 1 = 2 2 + 5x + -2x = 3[1 + -1(2x + -3)] Combine like terms: 5x + -2x = 3x 2 + 3x = 3[1 + -1(2x + -3)] Reorder the terms: 2 + 3x = 3[1 + -1(-3 + 2x)] 2 + 3x = 3[1 + (-3 * -1 + 2x * -1)] 2 + 3x = 3[1 + (3 + -2x)] Combine like terms: 1 + 3 = 4 2 + 3x = 3[4 + -2x] 2 + 3x = [4 * 3 + -2x * 3] 2 + 3x = [12 + -6x] Solving 2 + 3x = 12 + -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. 2 + 3x + 6x = 12 + -6x + 6x Combine like terms: 3x + 6x = 9x 2 + 9x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 9x = 12 + 0 2 + 9x = 12 Add '-2' to each side of the equation. 2 + -2 + 9x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 12 + -2 9x = 12 + -2 Combine like terms: 12 + -2 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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