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Simplifying -1[2x + -1(5x + 3)] = 2 + (2x + 7) Reorder the terms: -1[2x + -1(3 + 5x)] = 2 + (2x + 7) -1[2x + (3 * -1 + 5x * -1)] = 2 + (2x + 7) -1[2x + (-3 + -5x)] = 2 + (2x + 7) Reorder the terms: -1[-3 + 2x + -5x] = 2 + (2x + 7) Combine like terms: 2x + -5x = -3x -1[-3 + -3x] = 2 + (2x + 7) [-3 * -1 + -3x * -1] = 2 + (2x + 7) [3 + 3x] = 2 + (2x + 7) Reorder the terms: 3 + 3x = 2 + (7 + 2x) Remove parenthesis around (7 + 2x) 3 + 3x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 3 + 3x = 9 + 2x Solving 3 + 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. 3 + 3x + -2x = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 1x = 9 + 0 3 + 1x = 9 Add '-3' to each side of the equation. 3 + -3 + 1x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 9 + -3 1x = 9 + -3 Combine like terms: 9 + -3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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