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Simplifying 5 + -7[2 + -1(4x + 3)] = 0 Reorder the terms: 5 + -7[2 + -1(3 + 4x)] = 0 5 + -7[2 + (3 * -1 + 4x * -1)] = 0 5 + -7[2 + (-3 + -4x)] = 0 Combine like terms: 2 + -3 = -1 5 + -7[-1 + -4x] = 0 5 + [-1 * -7 + -4x * -7] = 0 5 + [7 + 28x] = 0 Combine like terms: 5 + 7 = 12 12 + 28x = 0 Solving 12 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 28x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 28x = 0 + -12 28x = 0 + -12 Combine like terms: 0 + -12 = -12 28x = -12 Divide each side by '28'. x = -0.4285714286 Simplifying x = -0.4285714286
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