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Simplifying -1[2x + (5x + 2)] = 2 + (2x + 7) Reorder the terms: -1[2x + (2 + 5x)] = 2 + (2x + 7) Remove parenthesis around (2 + 5x) -1[2x + 2 + 5x] = 2 + (2x + 7) Reorder the terms: -1[2 + 2x + 5x] = 2 + (2x + 7) Combine like terms: 2x + 5x = 7x -1[2 + 7x] = 2 + (2x + 7) [2 * -1 + 7x * -1] = 2 + (2x + 7) [-2 + -7x] = 2 + (2x + 7) Reorder the terms: -2 + -7x = 2 + (7 + 2x) Remove parenthesis around (7 + 2x) -2 + -7x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 -2 + -7x = 9 + 2x Solving -2 + -7x = 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 + -7x + -2x = 9 + 2x + -2x Combine like terms: -7x + -2x = -9x -2 + -9x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -9x = 9 + 0 -2 + -9x = 9 Add '2' to each side of the equation. -2 + 2 + -9x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 9 + 2 -9x = 9 + 2 Combine like terms: 9 + 2 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222
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