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Simplifying -2[8 + -5(2 + -3) + -7x] = (4x + -9) Combine like terms: 2 + -3 = -1 -2[8 + -5(-1) + -7x] = (4x + -9) Multiply -5 * -1 -2[8 + 5 + -7x] = (4x + -9) Combine like terms: 8 + 5 = 13 -2[13 + -7x] = (4x + -9) [13 * -2 + -7x * -2] = (4x + -9) [-26 + 14x] = (4x + -9) Reorder the terms: -26 + 14x = (-9 + 4x) Remove parenthesis around (-9 + 4x) -26 + 14x = -9 + 4x Solving -26 + 14x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -26 + 14x + -4x = -9 + 4x + -4x Combine like terms: 14x + -4x = 10x -26 + 10x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 10x = -9 + 0 -26 + 10x = -9 Add '26' to each side of the equation. -26 + 26 + 10x = -9 + 26 Combine like terms: -26 + 26 = 0 0 + 10x = -9 + 26 10x = -9 + 26 Combine like terms: -9 + 26 = 17 10x = 17 Divide each side by '10'. x = 1.7 Simplifying x = 1.7
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