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Simplifying 7x + 5 = -6x + 31 Reorder the terms: 5 + 7x = -6x + 31 Reorder the terms: 5 + 7x = 31 + -6x Solving 5 + 7x = 31 + -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. 5 + 7x + 6x = 31 + -6x + 6x Combine like terms: 7x + 6x = 13x 5 + 13x = 31 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 13x = 31 + 0 5 + 13x = 31 Add '-5' to each side of the equation. 5 + -5 + 13x = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 31 + -5 13x = 31 + -5 Combine like terms: 31 + -5 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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