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Simplifying -4x + -5[2x + -4(3 + 7x)] = 0 -4x + -5[2x + (3 * -4 + 7x * -4)] = 0 -4x + -5[2x + (-12 + -28x)] = 0 Reorder the terms: -4x + -5[-12 + 2x + -28x] = 0 Combine like terms: 2x + -28x = -26x -4x + -5[-12 + -26x] = 0 -4x + [-12 * -5 + -26x * -5] = 0 -4x + [60 + 130x] = 0 Reorder the terms: 60 + -4x + 130x = 0 Combine like terms: -4x + 130x = 126x 60 + 126x = 0 Solving 60 + 126x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 126x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 126x = 0 + -60 126x = 0 + -60 Combine like terms: 0 + -60 = -60 126x = -60 Divide each side by '126'. x = -0.4761904762 Simplifying x = -0.4761904762
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