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Simplifying 7x + -12 = 13x + 20 Reorder the terms: -12 + 7x = 13x + 20 Reorder the terms: -12 + 7x = 20 + 13x Solving -12 + 7x = 20 + 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 = 20 + 13x + -13x Combine like terms: 7x + -13x = -6x -12 + -6x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 -12 + -6x = 20 + 0 -12 + -6x = 20 Add '12' to each side of the equation. -12 + 12 + -6x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 20 + 12 -6x = 20 + 12 Combine like terms: 20 + 12 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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