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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 = 9 2 + 3x = 9 + 2x Solving 2 + 3x = 9 + 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 = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = 9 + 0 2 + 1x = 9 Add '-2' to each side of the equation. 2 + -2 + 1x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 9 + -2 1x = 9 + -2 Combine like terms: 9 + -2 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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