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Simplifying 6[x + -1(5x + -6)] = 8 + -7x Reorder the terms: 6[x + -1(-6 + 5x)] = 8 + -7x 6[x + (-6 * -1 + 5x * -1)] = 8 + -7x 6[x + (6 + -5x)] = 8 + -7x Reorder the terms: 6[6 + x + -5x] = 8 + -7x Combine like terms: x + -5x = -4x 6[6 + -4x] = 8 + -7x [6 * 6 + -4x * 6] = 8 + -7x [36 + -24x] = 8 + -7x Solving 36 + -24x = 8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 36 + -24x + 7x = 8 + -7x + 7x Combine like terms: -24x + 7x = -17x 36 + -17x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 36 + -17x = 8 + 0 36 + -17x = 8 Add '-36' to each side of the equation. 36 + -36 + -17x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -17x = 8 + -36 -17x = 8 + -36 Combine like terms: 8 + -36 = -28 -17x = -28 Divide each side by '-17'. x = 1.647058824 Simplifying x = 1.647058824
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