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Simplifying 7x + 4 + 2x = 5x + 32 Reorder the terms: 4 + 7x + 2x = 5x + 32 Combine like terms: 7x + 2x = 9x 4 + 9x = 5x + 32 Reorder the terms: 4 + 9x = 32 + 5x Solving 4 + 9x = 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. 4 + 9x + -5x = 32 + 5x + -5x Combine like terms: 9x + -5x = 4x 4 + 4x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 4x = 32 + 0 4 + 4x = 32 Add '-4' to each side of the equation. 4 + -4 + 4x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 32 + -4 4x = 32 + -4 Combine like terms: 32 + -4 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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