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Simplifying -41 = 1 + -6(x + 6) Reorder the terms: -41 = 1 + -6(6 + x) -41 = 1 + (6 * -6 + x * -6) -41 = 1 + (-36 + -6x) Combine like terms: 1 + -36 = -35 -41 = -35 + -6x Solving -41 = -35 + -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 + 6x = -35 + -6x + 6x Combine like terms: -6x + 6x = 0 -41 + 6x = -35 + 0 -41 + 6x = -35 Add '41' to each side of the equation. -41 + 41 + 6x = -35 + 41 Combine like terms: -41 + 41 = 0 0 + 6x = -35 + 41 6x = -35 + 41 Combine like terms: -35 + 41 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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