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Simplifying -1[2(4x + 7) + (3x + 5)] + (4x + -7) = 0 Reorder the terms: -1[2(7 + 4x) + (3x + 5)] + (4x + -7) = 0 -1[(7 * 2 + 4x * 2) + (3x + 5)] + (4x + -7) = 0 -1[(14 + 8x) + (3x + 5)] + (4x + -7) = 0 Reorder the terms: -1[14 + 8x + (5 + 3x)] + (4x + -7) = 0 Remove parenthesis around (5 + 3x) -1[14 + 8x + 5 + 3x] + (4x + -7) = 0 Reorder the terms: -1[14 + 5 + 8x + 3x] + (4x + -7) = 0 Combine like terms: 14 + 5 = 19 -1[19 + 8x + 3x] + (4x + -7) = 0 Combine like terms: 8x + 3x = 11x -1[19 + 11x] + (4x + -7) = 0 [19 * -1 + 11x * -1] + (4x + -7) = 0 [-19 + -11x] + (4x + -7) = 0 Reorder the terms: -19 + -11x + (-7 + 4x) = 0 Remove parenthesis around (-7 + 4x) -19 + -11x + -7 + 4x = 0 Reorder the terms: -19 + -7 + -11x + 4x = 0 Combine like terms: -19 + -7 = -26 -26 + -11x + 4x = 0 Combine like terms: -11x + 4x = -7x -26 + -7x = 0 Solving -26 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -7x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -7x = 0 + 26 -7x = 0 + 26 Combine like terms: 0 + 26 = 26 -7x = 26 Divide each side by '-7'. x = -3.714285714 Simplifying x = -3.714285714
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