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Simplifying 34(24 + -1x) = 16(x + 2) (24 * 34 + -1x * 34) = 16(x + 2) (816 + -34x) = 16(x + 2) Reorder the terms: 816 + -34x = 16(2 + x) 816 + -34x = (2 * 16 + x * 16) 816 + -34x = (32 + 16x) Solving 816 + -34x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 816 + -34x + -16x = 32 + 16x + -16x Combine like terms: -34x + -16x = -50x 816 + -50x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 816 + -50x = 32 + 0 816 + -50x = 32 Add '-816' to each side of the equation. 816 + -816 + -50x = 32 + -816 Combine like terms: 816 + -816 = 0 0 + -50x = 32 + -816 -50x = 32 + -816 Combine like terms: 32 + -816 = -784 -50x = -784 Divide each side by '-50'. x = 15.68 Simplifying x = 15.68
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