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Simplifying 12x + 13 = 9x + -12 Reorder the terms: 13 + 12x = 9x + -12 Reorder the terms: 13 + 12x = -12 + 9x Solving 13 + 12x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + 12x + -9x = -12 + 9x + -9x Combine like terms: 12x + -9x = 3x 13 + 3x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + 3x = -12 + 0 13 + 3x = -12 Add '-13' to each side of the equation. 13 + -13 + 3x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = -12 + -13 3x = -12 + -13 Combine like terms: -12 + -13 = -25 3x = -25 Divide each side by '3'. x = -8.333333333 Simplifying x = -8.333333333
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