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Simplifying 12x + 13 + -2x = 3x + -6 Reorder the terms: 13 + 12x + -2x = 3x + -6 Combine like terms: 12x + -2x = 10x 13 + 10x = 3x + -6 Reorder the terms: 13 + 10x = -6 + 3x Solving 13 + 10x = -6 + 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. 13 + 10x + -3x = -6 + 3x + -3x Combine like terms: 10x + -3x = 7x 13 + 7x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 7x = -6 + 0 13 + 7x = -6 Add '-13' to each side of the equation. 13 + -13 + 7x = -6 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = -6 + -13 7x = -6 + -13 Combine like terms: -6 + -13 = -19 7x = -19 Divide each side by '7'. x = -2.714285714 Simplifying x = -2.714285714
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