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Simplifying 10x + -5 + 2x = 5x + 1 + x Reorder the terms: -5 + 10x + 2x = 5x + 1 + x Combine like terms: 10x + 2x = 12x -5 + 12x = 5x + 1 + x Reorder the terms: -5 + 12x = 1 + 5x + x Combine like terms: 5x + x = 6x -5 + 12x = 1 + 6x Solving -5 + 12x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 12x + -6x = 1 + 6x + -6x Combine like terms: 12x + -6x = 6x -5 + 6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 6x = 1 + 0 -5 + 6x = 1 Add '5' to each side of the equation. -5 + 5 + 6x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 1 + 5 6x = 1 + 5 Combine like terms: 1 + 5 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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