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Simplifying 8 + -6x + -2 = 46 + 3x + -11 Reorder the terms: 8 + -2 + -6x = 46 + 3x + -11 Combine like terms: 8 + -2 = 6 6 + -6x = 46 + 3x + -11 Reorder the terms: 6 + -6x = 46 + -11 + 3x Combine like terms: 46 + -11 = 35 6 + -6x = 35 + 3x Solving 6 + -6x = 35 + 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. 6 + -6x + -3x = 35 + 3x + -3x Combine like terms: -6x + -3x = -9x 6 + -9x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -9x = 35 + 0 6 + -9x = 35 Add '-6' to each side of the equation. 6 + -6 + -9x = 35 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 35 + -6 -9x = 35 + -6 Combine like terms: 35 + -6 = 29 -9x = 29 Divide each side by '-9'. x = -3.222222222 Simplifying x = -3.222222222
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