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Simplifying -9x + 14 = -22 + -5(x + 12) Reorder the terms: 14 + -9x = -22 + -5(x + 12) Reorder the terms: 14 + -9x = -22 + -5(12 + x) 14 + -9x = -22 + (12 * -5 + x * -5) 14 + -9x = -22 + (-60 + -5x) Combine like terms: -22 + -60 = -82 14 + -9x = -82 + -5x Solving 14 + -9x = -82 + -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. 14 + -9x + 5x = -82 + -5x + 5x Combine like terms: -9x + 5x = -4x 14 + -4x = -82 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + -4x = -82 + 0 14 + -4x = -82 Add '-14' to each side of the equation. 14 + -14 + -4x = -82 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -82 + -14 -4x = -82 + -14 Combine like terms: -82 + -14 = -96 -4x = -96 Divide each side by '-4'. x = 24 Simplifying x = 24
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