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Simplifying -1[2x + -1(5x + 2)] = 2 + (2x + -7) Reorder the terms: -1[2x + -1(2 + 5x)] = 2 + (2x + -7) -1[2x + (2 * -1 + 5x * -1)] = 2 + (2x + -7) -1[2x + (-2 + -5x)] = 2 + (2x + -7) Reorder the terms: -1[-2 + 2x + -5x] = 2 + (2x + -7) Combine like terms: 2x + -5x = -3x -1[-2 + -3x] = 2 + (2x + -7) [-2 * -1 + -3x * -1] = 2 + (2x + -7) [2 + 3x] = 2 + (2x + -7) Reorder the terms: 2 + 3x = 2 + (-7 + 2x) Remove parenthesis around (-7 + 2x) 2 + 3x = 2 + -7 + 2x Combine like terms: 2 + -7 = -5 2 + 3x = -5 + 2x Solving 2 + 3x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 3x + -2x = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = -5 + 0 2 + 1x = -5 Add '-2' to each side of the equation. 2 + -2 + 1x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -5 + -2 1x = -5 + -2 Combine like terms: -5 + -2 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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