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Simplifying 2x + -13 = 5x + 12 Reorder the terms: -13 + 2x = 5x + 12 Reorder the terms: -13 + 2x = 12 + 5x Solving -13 + 2x = 12 + 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 + 2x + -5x = 12 + 5x + -5x Combine like terms: 2x + -5x = -3x -13 + -3x = 12 + 5x + -5x Combine like terms: 5x + -5x = 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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