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Simplifying 3x + -20 + 2x + 10 = 2x + 41 Reorder the terms: -20 + 10 + 3x + 2x = 2x + 41 Combine like terms: -20 + 10 = -10 -10 + 3x + 2x = 2x + 41 Combine like terms: 3x + 2x = 5x -10 + 5x = 2x + 41 Reorder the terms: -10 + 5x = 41 + 2x Solving -10 + 5x = 41 + 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. -10 + 5x + -2x = 41 + 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = 41 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = 41 + 0 -10 + 3x = 41 Add '10' to each side of the equation. -10 + 10 + 3x = 41 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 41 + 10 3x = 41 + 10 Combine like terms: 41 + 10 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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