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Simplifying -1[7x + (9x + -4)] = 5 + -1(2x + 7) Reorder the terms: -1[7x + (-4 + 9x)] = 5 + -1(2x + 7) Remove parenthesis around (-4 + 9x) -1[7x + -4 + 9x] = 5 + -1(2x + 7) Reorder the terms: -1[-4 + 7x + 9x] = 5 + -1(2x + 7) Combine like terms: 7x + 9x = 16x -1[-4 + 16x] = 5 + -1(2x + 7) [-4 * -1 + 16x * -1] = 5 + -1(2x + 7) [4 + -16x] = 5 + -1(2x + 7) Reorder the terms: 4 + -16x = 5 + -1(7 + 2x) 4 + -16x = 5 + (7 * -1 + 2x * -1) 4 + -16x = 5 + (-7 + -2x) Combine like terms: 5 + -7 = -2 4 + -16x = -2 + -2x Solving 4 + -16x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + -16x + 2x = -2 + -2x + 2x Combine like terms: -16x + 2x = -14x 4 + -14x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -14x = -2 + 0 4 + -14x = -2 Add '-4' to each side of the equation. 4 + -4 + -14x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -2 + -4 -14x = -2 + -4 Combine like terms: -2 + -4 = -6 -14x = -6 Divide each side by '-14'. x = 0.4285714286 Simplifying x = 0.4285714286
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