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Simplifying -7x + 11x + 5 = 2x + 31 Reorder the terms: 5 + -7x + 11x = 2x + 31 Combine like terms: -7x + 11x = 4x 5 + 4x = 2x + 31 Reorder the terms: 5 + 4x = 31 + 2x Solving 5 + 4x = 31 + 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. 5 + 4x + -2x = 31 + 2x + -2x Combine like terms: 4x + -2x = 2x 5 + 2x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 2x = 31 + 0 5 + 2x = 31 Add '-5' to each side of the equation. 5 + -5 + 2x = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 31 + -5 2x = 31 + -5 Combine like terms: 31 + -5 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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