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Simplifying 7(x + 6) + -8 = 5x(-1) Reorder the terms: 7(6 + x) + -8 = 5x(-1) (6 * 7 + x * 7) + -8 = 5x(-1) (42 + 7x) + -8 = 5x(-1) Reorder the terms: 42 + -8 + 7x = 5x(-1) Combine like terms: 42 + -8 = 34 34 + 7x = 5x(-1) Reorder the terms for easier multiplication: 34 + 7x = 5 * -1x Multiply 5 * -1 34 + 7x = -5x Solving 34 + 7x = -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 = -5x + 5x Combine like terms: 7x + 5x = 12x 34 + 12x = -5x + 5x Combine like terms: -5x + 5x = 0 34 + 12x = 0 Add '-34' to each side of the equation. 34 + -34 + 12x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 12x = 0 + -34 12x = 0 + -34 Combine like terms: 0 + -34 = -34 12x = -34 Divide each side by '12'. x = -2.833333333 Simplifying x = -2.833333333
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