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Simplifying (14)(12 + x) = (22)(10 + x) (12 * 14 + x * 14) = (22)(10 + x) (168 + 14x) = (22)(10 + x) 168 + 14x = (10 * 22 + x * 22) 168 + 14x = (220 + 22x) Solving 168 + 14x = 220 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 168 + 14x + -22x = 220 + 22x + -22x Combine like terms: 14x + -22x = -8x 168 + -8x = 220 + 22x + -22x Combine like terms: 22x + -22x = 0 168 + -8x = 220 + 0 168 + -8x = 220 Add '-168' to each side of the equation. 168 + -168 + -8x = 220 + -168 Combine like terms: 168 + -168 = 0 0 + -8x = 220 + -168 -8x = 220 + -168 Combine like terms: 220 + -168 = 52 -8x = 52 Divide each side by '-8'. x = -6.5 Simplifying x = -6.5
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