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Simplifying 12x + -2 + 6x = 10x + 13 + -7x Reorder the terms: -2 + 12x + 6x = 10x + 13 + -7x Combine like terms: 12x + 6x = 18x -2 + 18x = 10x + 13 + -7x Reorder the terms: -2 + 18x = 13 + 10x + -7x Combine like terms: 10x + -7x = 3x -2 + 18x = 13 + 3x Solving -2 + 18x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 18x + -3x = 13 + 3x + -3x Combine like terms: 18x + -3x = 15x -2 + 15x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 15x = 13 + 0 -2 + 15x = 13 Add '2' to each side of the equation. -2 + 2 + 15x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 15x = 13 + 2 15x = 13 + 2 Combine like terms: 13 + 2 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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