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Simplifying -1[7x + 6(x + 1)] = -4x + -6 Reorder the terms: -1[7x + 6(1 + x)] = -4x + -6 -1[7x + (1 * 6 + x * 6)] = -4x + -6 -1[7x + (6 + 6x)] = -4x + -6 Reorder the terms: -1[6 + 7x + 6x] = -4x + -6 Combine like terms: 7x + 6x = 13x -1[6 + 13x] = -4x + -6 [6 * -1 + 13x * -1] = -4x + -6 [-6 + -13x] = -4x + -6 Reorder the terms: -6 + -13x = -6 + -4x Add '6' to each side of the equation. -6 + 6 + -13x = -6 + 6 + -4x Combine like terms: -6 + 6 = 0 0 + -13x = -6 + 6 + -4x -13x = -6 + 6 + -4x Combine like terms: -6 + 6 = 0 -13x = 0 + -4x -13x = -4x Solving -13x = -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. -13x + 4x = -4x + 4x Combine like terms: -13x + 4x = -9x -9x = -4x + 4x Combine like terms: -4x + 4x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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