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Simplifying 6x + 7 + 4 + 2x + 5 = 3x + 11 Reorder the terms: 7 + 4 + 5 + 6x + 2x = 3x + 11 Combine like terms: 7 + 4 = 11 11 + 5 + 6x + 2x = 3x + 11 Combine like terms: 11 + 5 = 16 16 + 6x + 2x = 3x + 11 Combine like terms: 6x + 2x = 8x 16 + 8x = 3x + 11 Reorder the terms: 16 + 8x = 11 + 3x Solving 16 + 8x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 16 + 8x + -3x = 11 + 3x + -3x Combine like terms: 8x + -3x = 5x 16 + 5x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 5x = 11 + 0 16 + 5x = 11 Add '-16' to each side of the equation. 16 + -16 + 5x = 11 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 11 + -16 5x = 11 + -16 Combine like terms: 11 + -16 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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