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Simplifying 7x + 12 = 13x + -8 Reorder the terms: 12 + 7x = 13x + -8 Reorder the terms: 12 + 7x = -8 + 13x Solving 12 + 7x = -8 + 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 + 7x + -13x = -8 + 13x + -13x Combine like terms: 7x + -13x = -6x 12 + -6x = -8 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -6x = -8 + 0 12 + -6x = -8 Add '-12' to each side of the equation. 12 + -12 + -6x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -8 + -12 -6x = -8 + -12 Combine like terms: -8 + -12 = -20 -6x = -20 Divide each side by '-6'. x = 3.333333333 Simplifying x = 3.333333333
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