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Simplifying 6x + 7 + -1(3x + -1(6(x + -5) + -1)) = 6(x + -6) Reorder the terms: 6x + 7 + -1(3x + -1(6(-5 + x) + -1)) = 6(x + -6) 6x + 7 + -1(3x + -1((-5 * 6 + x * 6) + -1)) = 6(x + -6) 6x + 7 + -1(3x + -1((-30 + 6x) + -1)) = 6(x + -6) Reorder the terms: 6x + 7 + -1(3x + -1(-30 + -1 + 6x)) = 6(x + -6) Combine like terms: -30 + -1 = -31 6x + 7 + -1(3x + -1(-31 + 6x)) = 6(x + -6) 6x + 7 + -1(3x + (-31 * -1 + 6x * -1)) = 6(x + -6) 6x + 7 + -1(3x + (31 + -6x)) = 6(x + -6) Reorder the terms: 6x + 7 + -1(31 + 3x + -6x) = 6(x + -6) Combine like terms: 3x + -6x = -3x 6x + 7 + -1(31 + -3x) = 6(x + -6) 6x + 7 + (31 * -1 + -3x * -1) = 6(x + -6) 6x + 7 + (-31 + 3x) = 6(x + -6) Reorder the terms: 7 + -31 + 6x + 3x = 6(x + -6) Combine like terms: 7 + -31 = -24 -24 + 6x + 3x = 6(x + -6) Combine like terms: 6x + 3x = 9x -24 + 9x = 6(x + -6) Reorder the terms: -24 + 9x = 6(-6 + x) -24 + 9x = (-6 * 6 + x * 6) -24 + 9x = (-36 + 6x) Solving -24 + 9x = -36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 9x + -6x = -36 + 6x + -6x Combine like terms: 9x + -6x = 3x -24 + 3x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 3x = -36 + 0 -24 + 3x = -36 Add '24' to each side of the equation. -24 + 24 + 3x = -36 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -36 + 24 3x = -36 + 24 Combine like terms: -36 + 24 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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