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Simplifying -8 + 22 = 13x + -5 + -12x Combine like terms: -8 + 22 = 14 14 = 13x + -5 + -12x Reorder the terms: 14 = -5 + 13x + -12x Combine like terms: 13x + -12x = 1x 14 = -5 + 1x Solving 14 = -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. 14 + -1x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 14 + -1x = -5 + 0 14 + -1x = -5 Add '-14' to each side of the equation. 14 + -14 + -1x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -5 + -14 -1x = -5 + -14 Combine like terms: -5 + -14 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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