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Simplifying 8x + -12 = 13x + -22 Reorder the terms: -12 + 8x = 13x + -22 Reorder the terms: -12 + 8x = -22 + 13x Solving -12 + 8x = -22 + 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. -12 + 8x + -13x = -22 + 13x + -13x Combine like terms: 8x + -13x = -5x -12 + -5x = -22 + 13x + -13x Combine like terms: 13x + -13x = 0 -12 + -5x = -22 + 0 -12 + -5x = -22 Add '12' to each side of the equation. -12 + 12 + -5x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = -22 + 12 -5x = -22 + 12 Combine like terms: -22 + 12 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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