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Simplifying -6(6x + 6) + -5 = 1 + 6x Reorder the terms: -6(6 + 6x) + -5 = 1 + 6x (6 * -6 + 6x * -6) + -5 = 1 + 6x (-36 + -36x) + -5 = 1 + 6x Reorder the terms: -36 + -5 + -36x = 1 + 6x Combine like terms: -36 + -5 = -41 -41 + -36x = 1 + 6x Solving -41 + -36x = 1 + 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. -41 + -36x + -6x = 1 + 6x + -6x Combine like terms: -36x + -6x = -42x -41 + -42x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -41 + -42x = 1 + 0 -41 + -42x = 1 Add '41' to each side of the equation. -41 + 41 + -42x = 1 + 41 Combine like terms: -41 + 41 = 0 0 + -42x = 1 + 41 -42x = 1 + 41 Combine like terms: 1 + 41 = 42 -42x = 42 Divide each side by '-42'. x = -1 Simplifying x = -1
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