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Simplifying 12x + 5 + 4x = 7x + 4x + 3x + 11 Reorder the terms: 5 + 12x + 4x = 7x + 4x + 3x + 11 Combine like terms: 12x + 4x = 16x 5 + 16x = 7x + 4x + 3x + 11 Reorder the terms: 5 + 16x = 11 + 7x + 4x + 3x Combine like terms: 7x + 4x = 11x 5 + 16x = 11 + 11x + 3x Combine like terms: 11x + 3x = 14x 5 + 16x = 11 + 14x Solving 5 + 16x = 11 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 5 + 16x + -14x = 11 + 14x + -14x Combine like terms: 16x + -14x = 2x 5 + 2x = 11 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + 2x = 11 + 0 5 + 2x = 11 Add '-5' to each side of the equation. 5 + -5 + 2x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 11 + -5 2x = 11 + -5 Combine like terms: 11 + -5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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