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Simplifying 16 + -1x = 2[-12(x + 7)] Reorder the terms: 16 + -1x = 2[-12(7 + x)] 16 + -1x = 2[(7 * -12 + x * -12)] 16 + -1x = 2[(-84 + -12x)] 16 + -1x = [-84 * 2 + -12x * 2] 16 + -1x = [-168 + -24x] Solving 16 + -1x = -168 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 16 + -1x + 24x = -168 + -24x + 24x Combine like terms: -1x + 24x = 23x 16 + 23x = -168 + -24x + 24x Combine like terms: -24x + 24x = 0 16 + 23x = -168 + 0 16 + 23x = -168 Add '-16' to each side of the equation. 16 + -16 + 23x = -168 + -16 Combine like terms: 16 + -16 = 0 0 + 23x = -168 + -16 23x = -168 + -16 Combine like terms: -168 + -16 = -184 23x = -184 Divide each side by '23'. x = -8 Simplifying x = -8
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