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Simplifying -1[2x + (3x + 1)] = 2 + -1(4x + 7) Reorder the terms: -1[2x + (1 + 3x)] = 2 + -1(4x + 7) Remove parenthesis around (1 + 3x) -1[2x + 1 + 3x] = 2 + -1(4x + 7) Reorder the terms: -1[1 + 2x + 3x] = 2 + -1(4x + 7) Combine like terms: 2x + 3x = 5x -1[1 + 5x] = 2 + -1(4x + 7) [1 * -1 + 5x * -1] = 2 + -1(4x + 7) [-1 + -5x] = 2 + -1(4x + 7) Reorder the terms: -1 + -5x = 2 + -1(7 + 4x) -1 + -5x = 2 + (7 * -1 + 4x * -1) -1 + -5x = 2 + (-7 + -4x) Combine like terms: 2 + -7 = -5 -1 + -5x = -5 + -4x Solving -1 + -5x = -5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + -5x + 4x = -5 + -4x + 4x Combine like terms: -5x + 4x = -1x -1 + -1x = -5 + -4x + 4x Combine like terms: -4x + 4x = 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 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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