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Simplifying 12x + -83 = 13x + -89 Reorder the terms: -83 + 12x = 13x + -89 Reorder the terms: -83 + 12x = -89 + 13x Solving -83 + 12x = -89 + 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. -83 + 12x + -13x = -89 + 13x + -13x Combine like terms: 12x + -13x = -1x -83 + -1x = -89 + 13x + -13x Combine like terms: 13x + -13x = 0 -83 + -1x = -89 + 0 -83 + -1x = -89 Add '83' to each side of the equation. -83 + 83 + -1x = -89 + 83 Combine like terms: -83 + 83 = 0 0 + -1x = -89 + 83 -1x = -89 + 83 Combine like terms: -89 + 83 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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