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Simplifying -1[x + -1(4x + 5)] = 2 + 3(2x + 3) Reorder the terms: -1[x + -1(5 + 4x)] = 2 + 3(2x + 3) -1[x + (5 * -1 + 4x * -1)] = 2 + 3(2x + 3) -1[x + (-5 + -4x)] = 2 + 3(2x + 3) Reorder the terms: -1[-5 + x + -4x] = 2 + 3(2x + 3) Combine like terms: x + -4x = -3x -1[-5 + -3x] = 2 + 3(2x + 3) [-5 * -1 + -3x * -1] = 2 + 3(2x + 3) [5 + 3x] = 2 + 3(2x + 3) Reorder the terms: 5 + 3x = 2 + 3(3 + 2x) 5 + 3x = 2 + (3 * 3 + 2x * 3) 5 + 3x = 2 + (9 + 6x) Combine like terms: 2 + 9 = 11 5 + 3x = 11 + 6x Solving 5 + 3x = 11 + 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. 5 + 3x + -6x = 11 + 6x + -6x Combine like terms: 3x + -6x = -3x 5 + -3x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -3x = 11 + 0 5 + -3x = 11 Add '-5' to each side of the equation. 5 + -5 + -3x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 11 + -5 -3x = 11 + -5 Combine like terms: 11 + -5 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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