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Simplifying 3x + -8 + 2x = 12 + -2x + 1 Reorder the terms: -8 + 3x + 2x = 12 + -2x + 1 Combine like terms: 3x + 2x = 5x -8 + 5x = 12 + -2x + 1 Reorder the terms: -8 + 5x = 12 + 1 + -2x Combine like terms: 12 + 1 = 13 -8 + 5x = 13 + -2x Solving -8 + 5x = 13 + -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. -8 + 5x + 2x = 13 + -2x + 2x Combine like terms: 5x + 2x = 7x -8 + 7x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 7x = 13 + 0 -8 + 7x = 13 Add '8' to each side of the equation. -8 + 8 + 7x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 13 + 8 7x = 13 + 8 Combine like terms: 13 + 8 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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