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Simplifying -6x + 12 = -13x + 10 Reorder the terms: 12 + -6x = -13x + 10 Reorder the terms: 12 + -6x = 10 + -13x Solving 12 + -6x = 10 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 12 + -6x + 13x = 10 + -13x + 13x Combine like terms: -6x + 13x = 7x 12 + 7x = 10 + -13x + 13x Combine like terms: -13x + 13x = 0 12 + 7x = 10 + 0 12 + 7x = 10 Add '-12' to each side of the equation. 12 + -12 + 7x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 10 + -12 7x = 10 + -12 Combine like terms: 10 + -12 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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