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Simplifying 6x + 11 = 3x + 12 + 2x + 16 Reorder the terms: 11 + 6x = 3x + 12 + 2x + 16 Reorder the terms: 11 + 6x = 12 + 16 + 3x + 2x Combine like terms: 12 + 16 = 28 11 + 6x = 28 + 3x + 2x Combine like terms: 3x + 2x = 5x 11 + 6x = 28 + 5x Solving 11 + 6x = 28 + 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. 11 + 6x + -5x = 28 + 5x + -5x Combine like terms: 6x + -5x = 1x 11 + 1x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 1x = 28 + 0 11 + 1x = 28 Add '-11' to each side of the equation. 11 + -11 + 1x = 28 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 28 + -11 1x = 28 + -11 Combine like terms: 28 + -11 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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