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Simplifying 6[x + -1(7x + -6)] = 8 + -9x Reorder the terms: 6[x + -1(-6 + 7x)] = 8 + -9x 6[x + (-6 * -1 + 7x * -1)] = 8 + -9x 6[x + (6 + -7x)] = 8 + -9x Reorder the terms: 6[6 + x + -7x] = 8 + -9x Combine like terms: x + -7x = -6x 6[6 + -6x] = 8 + -9x [6 * 6 + -6x * 6] = 8 + -9x [36 + -36x] = 8 + -9x Solving 36 + -36x = 8 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 36 + -36x + 9x = 8 + -9x + 9x Combine like terms: -36x + 9x = -27x 36 + -27x = 8 + -9x + 9x Combine like terms: -9x + 9x = 0 36 + -27x = 8 + 0 36 + -27x = 8 Add '-36' to each side of the equation. 36 + -36 + -27x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -27x = 8 + -36 -27x = 8 + -36 Combine like terms: 8 + -36 = -28 -27x = -28 Divide each side by '-27'. x = 1.037037037 Simplifying x = 1.037037037
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