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Simplifying x(y + z) = (x * y) + (x * z) (y * x + z * x) = (x * y) + (x * z) (xy + xz) = (x * y) + (x * z) Multiply x * y xy + xz = (xy) + (x * z) xy + xz = xy + (x * z) Multiply x * z xy + xz = xy + (xz) xy + xz = xy + xz Add '-1xy' to each side of the equation. xy + -1xy + xz = xy + -1xy + xz Combine like terms: xy + -1xy = 0 0 + xz = xy + -1xy + xz xz = xy + -1xy + xz Combine like terms: xy + -1xy = 0 xz = 0 + xz xz = xz Add '-1xz' to each side of the equation. xz + -1xz = xz + -1xz Combine like terms: xz + -1xz = 0 0 = xz + -1xz Combine like terms: xz + -1xz = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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