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Simplifying 11x + 55 = 7x + 31 Reorder the terms: 55 + 11x = 7x + 31 Reorder the terms: 55 + 11x = 31 + 7x Solving 55 + 11x = 31 + 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. 55 + 11x + -7x = 31 + 7x + -7x Combine like terms: 11x + -7x = 4x 55 + 4x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 55 + 4x = 31 + 0 55 + 4x = 31 Add '-55' to each side of the equation. 55 + -55 + 4x = 31 + -55 Combine like terms: 55 + -55 = 0 0 + 4x = 31 + -55 4x = 31 + -55 Combine like terms: 31 + -55 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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