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Simplifying -3x + -1[2x + 5] = -4 + -1[3(2x + -4) + -3x] Reorder the terms: -3x + -1[5 + 2x] = -4 + -1[3(2x + -4) + -3x] -3x + [5 * -1 + 2x * -1] = -4 + -1[3(2x + -4) + -3x] -3x + [-5 + -2x] = -4 + -1[3(2x + -4) + -3x] Reorder the terms: -5 + -3x + -2x = -4 + -1[3(2x + -4) + -3x] Combine like terms: -3x + -2x = -5x -5 + -5x = -4 + -1[3(2x + -4) + -3x] Reorder the terms: -5 + -5x = -4 + -1[3(-4 + 2x) + -3x] -5 + -5x = -4 + -1[(-4 * 3 + 2x * 3) + -3x] -5 + -5x = -4 + -1[(-12 + 6x) + -3x] Combine like terms: 6x + -3x = 3x -5 + -5x = -4 + -1[-12 + 3x] -5 + -5x = -4 + [-12 * -1 + 3x * -1] -5 + -5x = -4 + [12 + -3x] Combine like terms: -4 + 12 = 8 -5 + -5x = 8 + -3x Solving -5 + -5x = 8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + -5x + 3x = 8 + -3x + 3x Combine like terms: -5x + 3x = -2x -5 + -2x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + -2x = 8 + 0 -5 + -2x = 8 Add '5' to each side of the equation. -5 + 5 + -2x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 8 + 5 -2x = 8 + 5 Combine like terms: 8 + 5 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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