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Simplifying 2 + 3[x + -1(3x + 1)] = 5[x + -1(2x + -1)] Reorder the terms: 2 + 3[x + -1(1 + 3x)] = 5[x + -1(2x + -1)] 2 + 3[x + (1 * -1 + 3x * -1)] = 5[x + -1(2x + -1)] 2 + 3[x + (-1 + -3x)] = 5[x + -1(2x + -1)] Reorder the terms: 2 + 3[-1 + x + -3x] = 5[x + -1(2x + -1)] Combine like terms: x + -3x = -2x 2 + 3[-1 + -2x] = 5[x + -1(2x + -1)] 2 + [-1 * 3 + -2x * 3] = 5[x + -1(2x + -1)] 2 + [-3 + -6x] = 5[x + -1(2x + -1)] Combine like terms: 2 + -3 = -1 -1 + -6x = 5[x + -1(2x + -1)] Reorder the terms: -1 + -6x = 5[x + -1(-1 + 2x)] -1 + -6x = 5[x + (-1 * -1 + 2x * -1)] -1 + -6x = 5[x + (1 + -2x)] Reorder the terms: -1 + -6x = 5[1 + x + -2x] Combine like terms: x + -2x = -1x -1 + -6x = 5[1 + -1x] -1 + -6x = [1 * 5 + -1x * 5] -1 + -6x = [5 + -5x] Solving -1 + -6x = 5 + -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. -1 + -6x + 5x = 5 + -5x + 5x Combine like terms: -6x + 5x = -1x -1 + -1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + -1x = 5 + 0 -1 + -1x = 5 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 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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