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Simplifying 3(x + -1) + -2[x + -1(2x + 7)] = 0 Reorder the terms: 3(-1 + x) + -2[x + -1(2x + 7)] = 0 (-1 * 3 + x * 3) + -2[x + -1(2x + 7)] = 0 (-3 + 3x) + -2[x + -1(2x + 7)] = 0 Reorder the terms: -3 + 3x + -2[x + -1(7 + 2x)] = 0 -3 + 3x + -2[x + (7 * -1 + 2x * -1)] = 0 -3 + 3x + -2[x + (-7 + -2x)] = 0 Reorder the terms: -3 + 3x + -2[-7 + x + -2x] = 0 Combine like terms: x + -2x = -1x -3 + 3x + -2[-7 + -1x] = 0 -3 + 3x + [-7 * -2 + -1x * -2] = 0 -3 + 3x + [14 + 2x] = 0 Reorder the terms: -3 + 14 + 3x + 2x = 0 Combine like terms: -3 + 14 = 11 11 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 11 + 5x = 0 Solving 11 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2
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