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Simplifying -1[2x + -1(5 + 2)] = 2 + (2x + 7) Combine like terms: 5 + 2 = 7 -1[2x + -1(7)] = 2 + (2x + 7) Multiply -1 * 7 -1[2x + -7] = 2 + (2x + 7) Reorder the terms: -1[-7 + 2x] = 2 + (2x + 7) [-7 * -1 + 2x * -1] = 2 + (2x + 7) [7 + -2x] = 2 + (2x + 7) Reorder the terms: 7 + -2x = 2 + (7 + 2x) Remove parenthesis around (7 + 2x) 7 + -2x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 7 + -2x = 9 + 2x Solving 7 + -2x = 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. 7 + -2x + -2x = 9 + 2x + -2x Combine like terms: -2x + -2x = -4x 7 + -4x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -4x = 9 + 0 7 + -4x = 9 Add '-7' to each side of the equation. 7 + -7 + -4x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 9 + -7 -4x = 9 + -7 Combine like terms: 9 + -7 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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