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Simplifying x + 6 = -1(5x + 5) Reorder the terms: 6 + x = -1(5x + 5) Reorder the terms: 6 + x = -1(5 + 5x) 6 + x = (5 * -1 + 5x * -1) 6 + x = (-5 + -5x) Solving 6 + x = -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 + x + 5x = -5 + -5x + 5x Combine like terms: x + 5x = 6x 6 + 6x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 6x = -5 + 0 6 + 6x = -5 Add '-6' to each side of the equation. 6 + -6 + 6x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -5 + -6 6x = -5 + -6 Combine like terms: -5 + -6 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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