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Simplifying 6(x + 1) = -5x + -5 Reorder the terms: 6(1 + x) = -5x + -5 (1 * 6 + x * 6) = -5x + -5 (6 + 6x) = -5x + -5 Reorder the terms: 6 + 6x = -5 + -5x Solving 6 + 6x = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 6x + 5x = -5 + -5x + 5x Combine like terms: 6x + 5x = 11x 6 + 11x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 11x = -5 + 0 6 + 11x = -5 Add '-6' to each side of the equation. 6 + -6 + 11x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -5 + -6 11x = -5 + -6 Combine like terms: -5 + -6 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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