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Simplifying 5 + 6x = -7x + 109 Reorder the terms: 5 + 6x = 109 + -7x Solving 5 + 6x = 109 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + 6x + 7x = 109 + -7x + 7x Combine like terms: 6x + 7x = 13x 5 + 13x = 109 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 13x = 109 + 0 5 + 13x = 109 Add '-5' to each side of the equation. 5 + -5 + 13x = 109 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 109 + -5 13x = 109 + -5 Combine like terms: 109 + -5 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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