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Simplifying 7x + 5 = 2x + 18 + 3x + 11 Reorder the terms: 5 + 7x = 2x + 18 + 3x + 11 Reorder the terms: 5 + 7x = 18 + 11 + 2x + 3x Combine like terms: 18 + 11 = 29 5 + 7x = 29 + 2x + 3x Combine like terms: 2x + 3x = 5x 5 + 7x = 29 + 5x Solving 5 + 7x = 29 + 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. 5 + 7x + -5x = 29 + 5x + -5x Combine like terms: 7x + -5x = 2x 5 + 2x = 29 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 2x = 29 + 0 5 + 2x = 29 Add '-5' to each side of the equation. 5 + -5 + 2x = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 29 + -5 2x = 29 + -5 Combine like terms: 29 + -5 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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