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Simplifying -102 + -5x = 6x + 41 Reorder the terms: -102 + -5x = 41 + 6x Solving -102 + -5x = 41 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -102 + -5x + -6x = 41 + 6x + -6x Combine like terms: -5x + -6x = -11x -102 + -11x = 41 + 6x + -6x Combine like terms: 6x + -6x = 0 -102 + -11x = 41 + 0 -102 + -11x = 41 Add '102' to each side of the equation. -102 + 102 + -11x = 41 + 102 Combine like terms: -102 + 102 = 0 0 + -11x = 41 + 102 -11x = 41 + 102 Combine like terms: 41 + 102 = 143 -11x = 143 Divide each side by '-11'. x = -13 Simplifying x = -13
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