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Simplifying 3x + 15 + 4x = 5x + 27 Reorder the terms: 15 + 3x + 4x = 5x + 27 Combine like terms: 3x + 4x = 7x 15 + 7x = 5x + 27 Reorder the terms: 15 + 7x = 27 + 5x Solving 15 + 7x = 27 + 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. 15 + 7x + -5x = 27 + 5x + -5x Combine like terms: 7x + -5x = 2x 15 + 2x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 2x = 27 + 0 15 + 2x = 27 Add '-15' to each side of the equation. 15 + -15 + 2x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 27 + -15 2x = 27 + -15 Combine like terms: 27 + -15 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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