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Simplifying -1[6x + (7X + 9)] = 1 + -1(3x + 6) Reorder the terms: -1[6x + (9 + 7X)] = 1 + -1(3x + 6) Remove parenthesis around (9 + 7X) -1[6x + 9 + 7X] = 1 + -1(3x + 6) Reorder the terms: -1[9 + 7X + 6x] = 1 + -1(3x + 6) [9 * -1 + 7X * -1 + 6x * -1] = 1 + -1(3x + 6) [-9 + -7X + -6x] = 1 + -1(3x + 6) Reorder the terms: -9 + -7X + -6x = 1 + -1(6 + 3x) -9 + -7X + -6x = 1 + (6 * -1 + 3x * -1) -9 + -7X + -6x = 1 + (-6 + -3x) Combine like terms: 1 + -6 = -5 -9 + -7X + -6x = -5 + -3x Solving -9 + -7X + -6x = -5 + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -7X + 9 + -6x = -5 + 9 + -3x Reorder the terms: -9 + 9 + -7X + -6x = -5 + 9 + -3x Combine like terms: -9 + 9 = 0 0 + -7X + -6x = -5 + 9 + -3x -7X + -6x = -5 + 9 + -3x Combine like terms: -5 + 9 = 4 -7X + -6x = 4 + -3x Add '6x' to each side of the equation. -7X + -6x + 6x = 4 + -3x + 6x Combine like terms: -6x + 6x = 0 -7X + 0 = 4 + -3x + 6x -7X = 4 + -3x + 6x Combine like terms: -3x + 6x = 3x -7X = 4 + 3x Divide each side by '-7'. X = -0.5714285714 + -0.4285714286x Simplifying X = -0.5714285714 + -0.4285714286x
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