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Simplifying -13 + 7[x + 4(x + 1)] = 0 Reorder the terms: -13 + 7[x + 4(1 + x)] = 0 -13 + 7[x + (1 * 4 + x * 4)] = 0 -13 + 7[x + (4 + 4x)] = 0 Reorder the terms: -13 + 7[4 + x + 4x] = 0 Combine like terms: x + 4x = 5x -13 + 7[4 + 5x] = 0 -13 + [4 * 7 + 5x * 7] = 0 -13 + [28 + 35x] = 0 Combine like terms: -13 + 28 = 15 15 + 35x = 0 Solving 15 + 35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 35x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 35x = 0 + -15 35x = 0 + -15 Combine like terms: 0 + -15 = -15 35x = -15 Divide each side by '35'. x = -0.4285714286 Simplifying x = -0.4285714286
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