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Simplifying -13 + 7[x + 4(x + 1)] = x Reorder the terms: -13 + 7[x + 4(1 + x)] = x -13 + 7[x + (1 * 4 + x * 4)] = x -13 + 7[x + (4 + 4x)] = x Reorder the terms: -13 + 7[4 + x + 4x] = x Combine like terms: x + 4x = 5x -13 + 7[4 + 5x] = x -13 + [4 * 7 + 5x * 7] = x -13 + [28 + 35x] = x Combine like terms: -13 + 28 = 15 15 + 35x = x Solving 15 + 35x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + 35x + -1x = x + -1x Combine like terms: 35x + -1x = 34x 15 + 34x = x + -1x Combine like terms: x + -1x = 0 15 + 34x = 0 Add '-15' to each side of the equation. 15 + -15 + 34x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 34x = 0 + -15 34x = 0 + -15 Combine like terms: 0 + -15 = -15 34x = -15 Divide each side by '34'. x = -0.4411764706 Simplifying x = -0.4411764706
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