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Simplifying x + -13 = 6x + 12 Reorder the terms: -13 + x = 6x + 12 Reorder the terms: -13 + x = 12 + 6x Solving -13 + x = 12 + 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 + x + -6x = 12 + 6x + -6x Combine like terms: x + -6x = -5x -13 + -5x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -5x = 12 + 0 -13 + -5x = 12 Add '13' to each side of the equation. -13 + 13 + -5x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 12 + 13 -5x = 12 + 13 Combine like terms: 12 + 13 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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