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Simplifying 105 + -5x + (-13) = 5x + 15 + x 105 + -5x + -13 = 5x + 15 + x Reorder the terms: 105 + -13 + -5x = 5x + 15 + x Combine like terms: 105 + -13 = 92 92 + -5x = 5x + 15 + x Reorder the terms: 92 + -5x = 15 + 5x + x Combine like terms: 5x + x = 6x 92 + -5x = 15 + 6x Solving 92 + -5x = 15 + 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. 92 + -5x + -6x = 15 + 6x + -6x Combine like terms: -5x + -6x = -11x 92 + -11x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 92 + -11x = 15 + 0 92 + -11x = 15 Add '-92' to each side of the equation. 92 + -92 + -11x = 15 + -92 Combine like terms: 92 + -92 = 0 0 + -11x = 15 + -92 -11x = 15 + -92 Combine like terms: 15 + -92 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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