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Simplifying 7x + 2 + 4x = 5x + 32 Reorder the terms: 2 + 7x + 4x = 5x + 32 Combine like terms: 7x + 4x = 11x 2 + 11x = 5x + 32 Reorder the terms: 2 + 11x = 32 + 5x Solving 2 + 11x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 11x + -5x = 32 + 5x + -5x Combine like terms: 11x + -5x = 6x 2 + 6x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 6x = 32 + 0 2 + 6x = 32 Add '-2' to each side of the equation. 2 + -2 + 6x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 32 + -2 6x = 32 + -2 Combine like terms: 32 + -2 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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