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Simplifying 7(x + 6) + -8 = 5(x + -1) Reorder the terms: 7(6 + x) + -8 = 5(x + -1) (6 * 7 + x * 7) + -8 = 5(x + -1) (42 + 7x) + -8 = 5(x + -1) Reorder the terms: 42 + -8 + 7x = 5(x + -1) Combine like terms: 42 + -8 = 34 34 + 7x = 5(x + -1) Reorder the terms: 34 + 7x = 5(-1 + x) 34 + 7x = (-1 * 5 + x * 5) 34 + 7x = (-5 + 5x) Solving 34 + 7x = -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. 34 + 7x + -5x = -5 + 5x + -5x Combine like terms: 7x + -5x = 2x 34 + 2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + 2x = -5 + 0 34 + 2x = -5 Add '-34' to each side of the equation. 34 + -34 + 2x = -5 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = -5 + -34 2x = -5 + -34 Combine like terms: -5 + -34 = -39 2x = -39 Divide each side by '2'. x = -19.5 Simplifying x = -19.5
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