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Simplifying 11x + 8 = 7x + 32 Reorder the terms: 8 + 11x = 7x + 32 Reorder the terms: 8 + 11x = 32 + 7x Solving 8 + 11x = 32 + 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. 8 + 11x + -7x = 32 + 7x + -7x Combine like terms: 11x + -7x = 4x 8 + 4x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 4x = 32 + 0 8 + 4x = 32 Add '-8' to each side of the equation. 8 + -8 + 4x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 32 + -8 4x = 32 + -8 Combine like terms: 32 + -8 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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