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Simplifying 3x + 16 + 5x + -11 = 6x + (49 + -8) Reorder the terms: 16 + -11 + 3x + 5x = 6x + (49 + -8) Combine like terms: 16 + -11 = 5 5 + 3x + 5x = 6x + (49 + -8) Combine like terms: 3x + 5x = 8x 5 + 8x = 6x + (49 + -8) Combine like terms: 49 + -8 = 41 5 + 8x = 6x + (41) 5 + 8x = 6x + 41 Reorder the terms: 5 + 8x = 41 + 6x Solving 5 + 8x = 41 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 8x + -6x = 41 + 6x + -6x Combine like terms: 8x + -6x = 2x 5 + 2x = 41 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 2x = 41 + 0 5 + 2x = 41 Add '-5' to each side of the equation. 5 + -5 + 2x = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 41 + -5 2x = 41 + -5 Combine like terms: 41 + -5 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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