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Simplifying x(12y + 14z) = z(14x + 16y) (12y * x + 14z * x) = z(14x + 16y) (12xy + 14xz) = z(14x + 16y) 12xy + 14xz = (14x * z + 16y * z) 12xy + 14xz = (14xz + 16yz) Add '-14xz' to each side of the equation. 12xy + 14xz + -14xz = 14xz + -14xz + 16yz Combine like terms: 14xz + -14xz = 0 12xy + 0 = 14xz + -14xz + 16yz 12xy = 14xz + -14xz + 16yz Combine like terms: 14xz + -14xz = 0 12xy = 0 + 16yz 12xy = 16yz Solving 12xy = 16yz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12y'. x = 1.333333333z Simplifying x = 1.333333333z
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