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Simplifying 9 + 13x + -8 = 7x + 78 + -5x Reorder the terms: 9 + -8 + 13x = 7x + 78 + -5x Combine like terms: 9 + -8 = 1 1 + 13x = 7x + 78 + -5x Reorder the terms: 1 + 13x = 78 + 7x + -5x Combine like terms: 7x + -5x = 2x 1 + 13x = 78 + 2x Solving 1 + 13x = 78 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 13x + -2x = 78 + 2x + -2x Combine like terms: 13x + -2x = 11x 1 + 11x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 11x = 78 + 0 1 + 11x = 78 Add '-1' to each side of the equation. 1 + -1 + 11x = 78 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 78 + -1 11x = 78 + -1 Combine like terms: 78 + -1 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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