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Simplifying 8x + -6 + -5x + 40 = 7 + -3x + -2 Reorder the terms: -6 + 40 + 8x + -5x = 7 + -3x + -2 Combine like terms: -6 + 40 = 34 34 + 8x + -5x = 7 + -3x + -2 Combine like terms: 8x + -5x = 3x 34 + 3x = 7 + -3x + -2 Reorder the terms: 34 + 3x = 7 + -2 + -3x Combine like terms: 7 + -2 = 5 34 + 3x = 5 + -3x Solving 34 + 3x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 34 + 3x + 3x = 5 + -3x + 3x Combine like terms: 3x + 3x = 6x 34 + 6x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 34 + 6x = 5 + 0 34 + 6x = 5 Add '-34' to each side of the equation. 34 + -34 + 6x = 5 + -34 Combine like terms: 34 + -34 = 0 0 + 6x = 5 + -34 6x = 5 + -34 Combine like terms: 5 + -34 = -29 6x = -29 Divide each side by '6'. x = -4.833333333 Simplifying x = -4.833333333
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