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Simplifying 11x + 5 = 7x + 49 Reorder the terms: 5 + 11x = 7x + 49 Reorder the terms: 5 + 11x = 49 + 7x Solving 5 + 11x = 49 + 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 + 11x + -7x = 49 + 7x + -7x Combine like terms: 11x + -7x = 4x 5 + 4x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 4x = 49 + 0 5 + 4x = 49 Add '-5' to each side of the equation. 5 + -5 + 4x = 49 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 49 + -5 4x = 49 + -5 Combine like terms: 49 + -5 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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