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Simplifying 6x + 2 = 13x + -12 Reorder the terms: 2 + 6x = 13x + -12 Reorder the terms: 2 + 6x = -12 + 13x Solving 2 + 6x = -12 + 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. 2 + 6x + -13x = -12 + 13x + -13x Combine like terms: 6x + -13x = -7x 2 + -7x = -12 + 13x + -13x Combine like terms: 13x + -13x = 0 2 + -7x = -12 + 0 2 + -7x = -12 Add '-2' to each side of the equation. 2 + -2 + -7x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -12 + -2 -7x = -12 + -2 Combine like terms: -12 + -2 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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