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Simplifying 12x + -13 = -6x + 17 Reorder the terms: -13 + 12x = -6x + 17 Reorder the terms: -13 + 12x = 17 + -6x Solving -13 + 12x = 17 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -13 + 12x + 6x = 17 + -6x + 6x Combine like terms: 12x + 6x = 18x -13 + 18x = 17 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 18x = 17 + 0 -13 + 18x = 17 Add '13' to each side of the equation. -13 + 13 + 18x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 18x = 17 + 13 18x = 17 + 13 Combine like terms: 17 + 13 = 30 18x = 30 Divide each side by '18'. x = 1.666666667 Simplifying x = 1.666666667
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