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Simplifying -1[6x + (5x + 6)] = 9 + -1(4x + 3) Reorder the terms: -1[6x + (6 + 5x)] = 9 + -1(4x + 3) Remove parenthesis around (6 + 5x) -1[6x + 6 + 5x] = 9 + -1(4x + 3) Reorder the terms: -1[6 + 6x + 5x] = 9 + -1(4x + 3) Combine like terms: 6x + 5x = 11x -1[6 + 11x] = 9 + -1(4x + 3) [6 * -1 + 11x * -1] = 9 + -1(4x + 3) [-6 + -11x] = 9 + -1(4x + 3) Reorder the terms: -6 + -11x = 9 + -1(3 + 4x) -6 + -11x = 9 + (3 * -1 + 4x * -1) -6 + -11x = 9 + (-3 + -4x) Combine like terms: 9 + -3 = 6 -6 + -11x = 6 + -4x Solving -6 + -11x = 6 + -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. -6 + -11x + 4x = 6 + -4x + 4x Combine like terms: -11x + 4x = -7x -6 + -7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + -7x = 6 + 0 -6 + -7x = 6 Add '6' to each side of the equation. -6 + 6 + -7x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 6 + 6 -7x = 6 + 6 Combine like terms: 6 + 6 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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