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Simplifying 3x + -8 + 5x = 1 + 2x + 9 Reorder the terms: -8 + 3x + 5x = 1 + 2x + 9 Combine like terms: 3x + 5x = 8x -8 + 8x = 1 + 2x + 9 Reorder the terms: -8 + 8x = 1 + 9 + 2x Combine like terms: 1 + 9 = 10 -8 + 8x = 10 + 2x Solving -8 + 8x = 10 + 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 + 8x + -2x = 10 + 2x + -2x Combine like terms: 8x + -2x = 6x -8 + 6x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 6x = 10 + 0 -8 + 6x = 10 Add '8' to each side of the equation. -8 + 8 + 6x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 10 + 8 6x = 10 + 8 Combine like terms: 10 + 8 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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