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Simplifying 5x + 11 + 3x + 10 = 2x + 9 Reorder the terms: 11 + 10 + 5x + 3x = 2x + 9 Combine like terms: 11 + 10 = 21 21 + 5x + 3x = 2x + 9 Combine like terms: 5x + 3x = 8x 21 + 8x = 2x + 9 Reorder the terms: 21 + 8x = 9 + 2x Solving 21 + 8x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 8x + -2x = 9 + 2x + -2x Combine like terms: 8x + -2x = 6x 21 + 6x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 6x = 9 + 0 21 + 6x = 9 Add '-21' to each side of the equation. 21 + -21 + 6x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 9 + -21 6x = 9 + -21 Combine like terms: 9 + -21 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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