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Simplifying 3x + -5 + 12x = 8 + 10x Reorder the terms: -5 + 3x + 12x = 8 + 10x Combine like terms: 3x + 12x = 15x -5 + 15x = 8 + 10x Solving -5 + 15x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 15x + -10x = 8 + 10x + -10x Combine like terms: 15x + -10x = 5x -5 + 5x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + 5x = 8 + 0 -5 + 5x = 8 Add '5' to each side of the equation. -5 + 5 + 5x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 8 + 5 5x = 8 + 5 Combine like terms: 8 + 5 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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