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Simplifying -1[4x + (2x + 5)] = 8 + -1(5x + 1) Reorder the terms: -1[4x + (5 + 2x)] = 8 + -1(5x + 1) Remove parenthesis around (5 + 2x) -1[4x + 5 + 2x] = 8 + -1(5x + 1) Reorder the terms: -1[5 + 4x + 2x] = 8 + -1(5x + 1) Combine like terms: 4x + 2x = 6x -1[5 + 6x] = 8 + -1(5x + 1) [5 * -1 + 6x * -1] = 8 + -1(5x + 1) [-5 + -6x] = 8 + -1(5x + 1) Reorder the terms: -5 + -6x = 8 + -1(1 + 5x) -5 + -6x = 8 + (1 * -1 + 5x * -1) -5 + -6x = 8 + (-1 + -5x) Combine like terms: 8 + -1 = 7 -5 + -6x = 7 + -5x Solving -5 + -6x = 7 + -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. -5 + -6x + 5x = 7 + -5x + 5x Combine like terms: -6x + 5x = -1x -5 + -1x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + -1x = 7 + 0 -5 + -1x = 7 Add '5' to each side of the equation. -5 + 5 + -1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 7 + 5 -1x = 7 + 5 Combine like terms: 7 + 5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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