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Simplifying 6x + -12 + 7x + 1 = 10x + 25 Reorder the terms: -12 + 1 + 6x + 7x = 10x + 25 Combine like terms: -12 + 1 = -11 -11 + 6x + 7x = 10x + 25 Combine like terms: 6x + 7x = 13x -11 + 13x = 10x + 25 Reorder the terms: -11 + 13x = 25 + 10x Solving -11 + 13x = 25 + 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. -11 + 13x + -10x = 25 + 10x + -10x Combine like terms: 13x + -10x = 3x -11 + 3x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 -11 + 3x = 25 + 0 -11 + 3x = 25 Add '11' to each side of the equation. -11 + 11 + 3x = 25 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 25 + 11 3x = 25 + 11 Combine like terms: 25 + 11 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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