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Simplifying -8x + 22 = 13x + -5 + -12x Reorder the terms: 22 + -8x = 13x + -5 + -12x Reorder the terms: 22 + -8x = -5 + 13x + -12x Combine like terms: 13x + -12x = 1x 22 + -8x = -5 + 1x Solving 22 + -8x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 22 + -8x + -1x = -5 + 1x + -1x Combine like terms: -8x + -1x = -9x 22 + -9x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 22 + -9x = -5 + 0 22 + -9x = -5 Add '-22' to each side of the equation. 22 + -22 + -9x = -5 + -22 Combine like terms: 22 + -22 = 0 0 + -9x = -5 + -22 -9x = -5 + -22 Combine like terms: -5 + -22 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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