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Simplifying 7x + -13 = 12 + -5x + -5 Reorder the terms: -13 + 7x = 12 + -5x + -5 Reorder the terms: -13 + 7x = 12 + -5 + -5x Combine like terms: 12 + -5 = 7 -13 + 7x = 7 + -5x Solving -13 + 7x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -13 + 7x + 5x = 7 + -5x + 5x Combine like terms: 7x + 5x = 12x -13 + 12x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + 12x = 7 + 0 -13 + 12x = 7 Add '13' to each side of the equation. -13 + 13 + 12x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 12x = 7 + 13 12x = 7 + 13 Combine like terms: 7 + 13 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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