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Simplifying 13 + 5x + -7 = 3x + -8 + -12x Reorder the terms: 13 + -7 + 5x = 3x + -8 + -12x Combine like terms: 13 + -7 = 6 6 + 5x = 3x + -8 + -12x Reorder the terms: 6 + 5x = -8 + 3x + -12x Combine like terms: 3x + -12x = -9x 6 + 5x = -8 + -9x Solving 6 + 5x = -8 + -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. 6 + 5x + 9x = -8 + -9x + 9x Combine like terms: 5x + 9x = 14x 6 + 14x = -8 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 14x = -8 + 0 6 + 14x = -8 Add '-6' to each side of the equation. 6 + -6 + 14x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = -8 + -6 14x = -8 + -6 Combine like terms: -8 + -6 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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