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Simplifying 3x + 39 = 11x + -6 Reorder the terms: 39 + 3x = 11x + -6 Reorder the terms: 39 + 3x = -6 + 11x Solving 39 + 3x = -6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 39 + 3x + -11x = -6 + 11x + -11x Combine like terms: 3x + -11x = -8x 39 + -8x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 39 + -8x = -6 + 0 39 + -8x = -6 Add '-39' to each side of the equation. 39 + -39 + -8x = -6 + -39 Combine like terms: 39 + -39 = 0 0 + -8x = -6 + -39 -8x = -6 + -39 Combine like terms: -6 + -39 = -45 -8x = -45 Divide each side by '-8'. x = 5.625 Simplifying x = 5.625
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