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Simplifying 13x + 7 + 5x + 97 = 9x + 26 + -4x + -78 Reorder the terms: 7 + 97 + 13x + 5x = 9x + 26 + -4x + -78 Combine like terms: 7 + 97 = 104 104 + 13x + 5x = 9x + 26 + -4x + -78 Combine like terms: 13x + 5x = 18x 104 + 18x = 9x + 26 + -4x + -78 Reorder the terms: 104 + 18x = 26 + -78 + 9x + -4x Combine like terms: 26 + -78 = -52 104 + 18x = -52 + 9x + -4x Combine like terms: 9x + -4x = 5x 104 + 18x = -52 + 5x Solving 104 + 18x = -52 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 104 + 18x + -5x = -52 + 5x + -5x Combine like terms: 18x + -5x = 13x 104 + 13x = -52 + 5x + -5x Combine like terms: 5x + -5x = 0 104 + 13x = -52 + 0 104 + 13x = -52 Add '-104' to each side of the equation. 104 + -104 + 13x = -52 + -104 Combine like terms: 104 + -104 = 0 0 + 13x = -52 + -104 13x = -52 + -104 Combine like terms: -52 + -104 = -156 13x = -156 Divide each side by '13'. x = -12 Simplifying x = -12
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