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Simplifying -6(x + 6) + -5 = 2(x + 7) Reorder the terms: -6(6 + x) + -5 = 2(x + 7) (6 * -6 + x * -6) + -5 = 2(x + 7) (-36 + -6x) + -5 = 2(x + 7) Reorder the terms: -36 + -5 + -6x = 2(x + 7) Combine like terms: -36 + -5 = -41 -41 + -6x = 2(x + 7) Reorder the terms: -41 + -6x = 2(7 + x) -41 + -6x = (7 * 2 + x * 2) -41 + -6x = (14 + 2x) Solving -41 + -6x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -41 + -6x + -2x = 14 + 2x + -2x Combine like terms: -6x + -2x = -8x -41 + -8x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -41 + -8x = 14 + 0 -41 + -8x = 14 Add '41' to each side of the equation. -41 + 41 + -8x = 14 + 41 Combine like terms: -41 + 41 = 0 0 + -8x = 14 + 41 -8x = 14 + 41 Combine like terms: 14 + 41 = 55 -8x = 55 Divide each side by '-8'. x = -6.875 Simplifying x = -6.875
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