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Simplifying 6(x + 7) + 2 = -5(x + -5) + -8 Reorder the terms: 6(7 + x) + 2 = -5(x + -5) + -8 (7 * 6 + x * 6) + 2 = -5(x + -5) + -8 (42 + 6x) + 2 = -5(x + -5) + -8 Reorder the terms: 42 + 2 + 6x = -5(x + -5) + -8 Combine like terms: 42 + 2 = 44 44 + 6x = -5(x + -5) + -8 Reorder the terms: 44 + 6x = -5(-5 + x) + -8 44 + 6x = (-5 * -5 + x * -5) + -8 44 + 6x = (25 + -5x) + -8 Reorder the terms: 44 + 6x = 25 + -8 + -5x Combine like terms: 25 + -8 = 17 44 + 6x = 17 + -5x Solving 44 + 6x = 17 + -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. 44 + 6x + 5x = 17 + -5x + 5x Combine like terms: 6x + 5x = 11x 44 + 11x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 44 + 11x = 17 + 0 44 + 11x = 17 Add '-44' to each side of the equation. 44 + -44 + 11x = 17 + -44 Combine like terms: 44 + -44 = 0 0 + 11x = 17 + -44 11x = 17 + -44 Combine like terms: 17 + -44 = -27 11x = -27 Divide each side by '11'. x = -2.454545455 Simplifying x = -2.454545455
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